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Quantum optics



 
 
Quantum optics is a field of research in physics
Physics

Physics is the natural science which examines basic concepts such as energy, force, and spacetime and all that derives from these, such as mass, charge, matter and its Motion ....
, dealing with the application of quantum mechanics
Quantum mechanics

Quantum mechanics is a set of principles underlying the most fundamental known description of all physical systems at the microscopic scale . Notable amongst these principles are both a dual wave-like and particle-like behavior of matter and radiation, and prediction of probabilities in situations where classical physics predicts certaintie...
 to phenomena involving light
Light

Light, or visible light, is electromagnetic radiation of a wavelength that is Visible spectrum to the human eye , or up to 380?750 nm. In the broader field of physics, light is sometimes used to refer to electromagnetic radiation of all wavelengths, whether visible or not....
 and its interactions with matter
Matter

In common usage, matter is anything that has both mass and volume . A more rigorous definition is used in science: matter is what atoms and molecules are made of....
.

History of quantum optics
Light is made up of particles called photons and hence inherently is "grainy" (quantized). Quantum optics is the study of the nature and effects of light as quantized photons. The first indication that light might be quantized came from Max Planck
Max Planck

Karl Ernst Ludwig Marx Planck, better known as Max Planck was a Germany physicist. He is considered to be the founder of the Quantum mechanics, and one of the most important physicists of the twentieth century....
 in 1899 when he correctly modelled blackbody radiation by assuming that the exchange of energy between light and matter only occurred in discrete amounts he called quanta.






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Quantum optics is a field of research in physics
Physics

Physics is the natural science which examines basic concepts such as energy, force, and spacetime and all that derives from these, such as mass, charge, matter and its Motion ....
, dealing with the application of quantum mechanics
Quantum mechanics

Quantum mechanics is a set of principles underlying the most fundamental known description of all physical systems at the microscopic scale . Notable amongst these principles are both a dual wave-like and particle-like behavior of matter and radiation, and prediction of probabilities in situations where classical physics predicts certaintie...
 to phenomena involving light
Light

Light, or visible light, is electromagnetic radiation of a wavelength that is Visible spectrum to the human eye , or up to 380?750 nm. In the broader field of physics, light is sometimes used to refer to electromagnetic radiation of all wavelengths, whether visible or not....
 and its interactions with matter
Matter

In common usage, matter is anything that has both mass and volume . A more rigorous definition is used in science: matter is what atoms and molecules are made of....
.

History of quantum optics


Light is made up of particles called photons and hence inherently is "grainy" (quantized). Quantum optics is the study of the nature and effects of light as quantized photons. The first indication that light might be quantized came from Max Planck
Max Planck

Karl Ernst Ludwig Marx Planck, better known as Max Planck was a Germany physicist. He is considered to be the founder of the Quantum mechanics, and one of the most important physicists of the twentieth century....
 in 1899 when he correctly modelled blackbody radiation by assuming that the exchange of energy between light and matter only occurred in discrete amounts he called quanta. It was unknown whether the source of this discreteness was the matter or the light. In 1905, Albert Einstein
Albert Einstein

Albert Einstein was a Germany-born theoretical physics. He is best known for his theory of relativity and specifically mass?energy equivalence, expressed by the equation E = mc2....
 published the theory of the photoelectric effect
Photoelectric effect

The photoelectric effect is a phenomenon in which electrons are emitted from matter after the absorption of energy from electromagnetic wave such as x-rays or visible light....
. It appeared that the only possible explanation for the effect was the existence of particles of light called photons. Later, Niels Bohr
Niels Bohr

Niels Henrik David Bohr was a Denmark physicist who made fundamental contributions to understanding atomic structure and quantum mechanics, for which he received the Nobel Prize in Physics in 1922....
 showed that the atoms were also quantized, in the sense that they could only emit discrete amounts of energy. The understanding of the interaction between light and matter
Matter

In common usage, matter is anything that has both mass and volume . A more rigorous definition is used in science: matter is what atoms and molecules are made of....
 following from these developments not only formed the basis of quantum optics but also were crucial for the development of quantum mechanics as a whole. However, the subfields of quantum mechanics dealing with matter-light interaction were principally regarded as research into matter rather than into light and hence, one rather spoke of atom physics and quantum electronics
Quantum electronics

Quantum electronics is the area of physics dealing with the effects of quantum mechanics on the behaviour of electrons in matter, and their interactions with photons....
.

This changed with the invention of the maser
Maser

A maser is a device that produces coherence electromagnetic waves through amplification due to stimulated emission. Historically the term came from the acronym "Microwave Amplification by Stimulated Emission of Radiation", although modern masers emit over a broad portion of the electromagnetic spectrum....
 in 1953 and the laser
Laser

A laser is a device that emits light through a process called stimulated emission. The term laser is an acronym for light amplification by stimulated emission of radiation....
 in 1960. Laser science
Laser science

Laser science or laser physics is a branch of optics that describes the theory and practice of lasers.Laser science is principally concerned with quantum electronics, laser construction, optical cavity design, the physics of producing a population inversion in active laser medium, the temporal evolution of the light field in the laser...
—i.e., research into principles, design and application of these devices—became an important field, and the quantum mechanics underlying the laser's principles was studied now with more emphasis on the properties of light, and the name quantum optics became customary.

As laser science needed good theoretical foundations, and also because research into these soon proved very fruitful, interest in quantum optics rose. Following the work of Dirac
Paul Dirac

Paul Adrien Maurice Dirac, Order of Merit , Royal Society was a United Kingdom theoretical physicist. Dirac made fundamental contributions to the early development of both quantum mechanics and quantum electrodynamics....
 in quantum field theory
Quantum field theory

Quantum field theory or QFT provides a theoretical framework for constructing quantum mechanics models of systems classically described by field or of Many-body problem....
, George Sudarshan
George Sudarshan

Ennackal Chandy George Sudarshan , also named E.C.G. Sudarshan, is a prominent Indian American physicist, author, and professor at University of Texas at Austin....
, Roy J. Glauber
Roy J. Glauber

Roy Jay Glauber is an American theoretical physicist. He is the Mallinckrodt Professor of Physics at Harvard University and Adjunct Professor of Optical Sciences at the University of Arizona....
, and Leonard Mandel
Leonard Mandel

Leonard Mandel was the Lee DuBridge Professor Emeritus of Physics and Optics at the University of Rochester when he died at the age of 73 at his home in Pittsford, New York....
 applied quantum theory to the electromagnetic field in the 1950s and 1960s to gain a more detailed understanding of photodetection and the statistics
Statistical mechanics

Statistical mechanics is the application of probability theory, which includes Mathematics tools for dealing with large populations, to the field of mechanics, which is concerned with the motion of particles or objects when subjected to a force....
 of light (see degree of coherence
Degree of coherence

In optics, correlation functions are used to characterize the statistical and Coherence properties of an electromagnetic field. The degree of coherence is the normalized correlation of electric fields....
). This led to the introduction of the coherent state
Coherent state

In quantum mechanics a coherent state is a specific kind of quantum state of the quantum harmonic oscillator whose dynamics most closely resemble the oscillating behaviour of a classical harmonic oscillator system....
 as a quantum description of laser light and the realization that some states of light could not be described with classical waves. In 1977, Kimble et al. demonstrated the first source of light which required a quantum description: a single atom that emitted one photon at a time. This was the first conclusive evidence that light was made up of photons. Another quantum state of light with certain advantages over any classical state, squeezed light
Squeezed coherent state

In physics, a squeezed coherent state is any state of the quantum mechanical Hilbert space such that the uncertainty principle is saturated. That is, the product of the corresponding two operators takes on its minimum value:...
, was soon proposed. At the same time, development of short and ultrashort
Ultrashort pulse

In optics, an ultrashort pulse of light is an electromagnetic pulse whose time duration is on the order of the femtosecond . Such pulses have a broadband optical spectrum, and can be created by modelocking oscillators....
 laser pulses—created by Q switching and modelocking
Modelocking

Mode-locking is a technique in optics by which a laser can be made to produce pulses of light of extremely short duration, on the order of picoseconds or femtoseconds ....
 techniques—opened the way to the study of unimaginably fast ("ultrafast") processes. Applications for solid state research (e.g. Raman spectroscopy
Raman spectroscopy

Raman spectroscopy is a Spectroscopy technique used in condensed matter physics and chemistry to study vibrational, rotational, and other low-frequency modes in a system....
) were found, and mechanical forces of light on matter were studied. The latter led to levitating and positioning clouds of atoms or even small biological samples in an optical trap or optical tweezers
Optical tweezers

An optical tweezer is a scientific instrument that uses a focused laser beam to provide an attractive or repulsive force , depending on the refractive index mismatch to physically hold and move microscopic dielectric objects....
 by laser beam. This, along with Doppler cooling
Doppler cooling

Doppler cooling is a mechanism that can be used to trap and cool atoms and is sometimes used synonymously with laser cooling. Doppler cooling is based on the Doppler effect in that if something is moving towards a wave, in this case an Electromagnetic radiation, the frequency seen by the moving object will be higher than that of an object not...
 was the crucial technology needed to achieve the celebrated Bose-Einstein condensation.

Other remarkable results are the demonstration of quantum entanglement
Bell test experiments

The Bell test experiments serve to investigate the validity of the quantum entanglement effect in quantum mechanics by using some kind of Bell inequality....
, quantum teleportation
Quantum teleportation

Quantum teleportation, or entanglement-assisted teleportation, is a technique used to transfer Physical information on a quantum level, usually from one Elementary particle to another particle in another location via quantum entanglement....
, and (recently, in 1995) quantum logic gates. The latter are of much interest in quantum information theory, a subject which partly emerged from quantum optics, partly from theoretical computer science
Computer science

Computer science is the study of the theoretical foundations of information and computation, and of practical techniques for their implementation and application in computer systems....
.

Today's fields of interest among quantum optics researchers include parametric down-conversion, parametric oscillation
Optical parametric oscillator

An optical parametric oscillator is a parametric oscillator which oscillates at optical frequencies. It converts an input laser wave into two output waves of lower frequency by means of nonlinear optics....
, even shorter (attosecond) light pulses, use of quantum optics for quantum information
Quantum information

In quantum mechanics, quantum information is physical information that is held in the "state" of a quantum system. The most popular unit of quantum information is the qubit, a two-level quantum system....
, manipulation of single atoms, Bose-Einstein condensates, their application, and how to manipulate them (a sub-field often called atom optics
Atom optics

Atom optics is the area of physics which deals with beams of cold, slowly moving neutral atoms, as a special case of a particle beam.Like an optical beam, the atomic beam may exhibit diffraction and interference, and can be focused with...
), and much more.

Research into quantum optics that aims to bring photons into use for information transfer and computation is now often called photonics
Photonics

Photonics is the science of generating, controlling, and detecting photons. This is particularly done in the visible spectrum and near-infrared spectrums of the electromagnetic spectrum but may also extend to the ultraviolet , long-wave infrared , and far-infrared/THz portions of the spectrum....
 to emphasize the claim that photons and photonics will take the role that electron
Electron

The electron is a subatomic particle that carries a negative electric charge. It has elementary particle and is believed to be a point particle....
s and electronics
Electronics

Electronics refers to the flow of charge through nonmetal electrical conductor , whereas electrical refers to the flow of charge through metal electrical conductor....
 now have.

Concepts of quantum optics

According to quantum mechanics, light may be considered not only as an electro-magnetic wave but also as a "stream" of particles called photons which travel with c, the vacuum speed of light
Speed of light

The speed of light in an free space is an important physical constant usually written as c, with a value of 299,792,458 metres per second....
. These particles should not be considered to be classical billiard balls, but as quantum mechanical particles described by a wavefunction
Wavefunction

A wave function or wavefunction is a mathematical tool used in quantum mechanics to describe any physical system. It is a function from a mathematical space that maps the possible states of the system into the complex numbers....
 spread over a finite region. Each particle carries one quantum of energy equal to hf, where h is Planck's constant and f is the frequency of the light. The postulation of the quantization
Quantization

Quantization is the procedure of constraining something from a continuous set of values to a discrete set . Quantization in specific domains is discussed in:...
 of light by Max Planck
Max Planck

Karl Ernst Ludwig Marx Planck, better known as Max Planck was a Germany physicist. He is considered to be the founder of the Quantum mechanics, and one of the most important physicists of the twentieth century....
 in 1899 and the discovery of the general validity of this idea in Albert Einstein
Albert Einstein

Albert Einstein was a Germany-born theoretical physics. He is best known for his theory of relativity and specifically mass?energy equivalence, expressed by the equation E = mc2....
's 1905 explanation of the photoelectric effect
Photoelectric effect

The photoelectric effect is a phenomenon in which electrons are emitted from matter after the absorption of energy from electromagnetic wave such as x-rays or visible light....
 soon led physicists to realize the possibility of population inversion
Population inversion

In physics, specifically statistical mechanics, a population inversion occurs when a system exists in state with more members in an excited state than in lower energy states....
 and the possibility of the laser
Laser

A laser is a device that emits light through a process called stimulated emission. The term laser is an acronym for light amplification by stimulated emission of radiation....
.

This kind of use of statistical mechanics
Statistical mechanics

Statistical mechanics is the application of probability theory, which includes Mathematics tools for dealing with large populations, to the field of mechanics, which is concerned with the motion of particles or objects when subjected to a force....
 is the fundament of most concepts of quantum optics: Light is described in terms of field operators for creation and annihilation of photons—i.e. in the language of quantum electrodynamics
Quantum electrodynamics

Quantum electrodynamics is a relativity theory quantum field theory of electrodynamics. QED was developed by a number of physicists, beginning in the late 1920s....
.

A frequently encountered state of the light field is the coherent state
Coherent state

In quantum mechanics a coherent state is a specific kind of quantum state of the quantum harmonic oscillator whose dynamics most closely resemble the oscillating behaviour of a classical harmonic oscillator system....
 as introduced by Roy J. Glauber
Roy J. Glauber

Roy Jay Glauber is an American theoretical physicist. He is the Mallinckrodt Professor of Physics at Harvard University and Adjunct Professor of Optical Sciences at the University of Arizona....
 in 1963. This state, which can be used to approximately describe the output of a single-frequency laser
Laser

A laser is a device that emits light through a process called stimulated emission. The term laser is an acronym for light amplification by stimulated emission of radiation....
 well above the laser threshold, exhibits Poissonian
Poisson distribution

In probability theory and statistics, the Poisson distribution is a discrete probability distribution that expresses the probability of a number of events occurring in a fixed period of time if these events occur with a known average rate and Statistical independence of the time since the last event....
 photon number statistics. Via certain nonlinear interactions, a coherent state can be transformed into a squeezed coherent state
Squeezed coherent state

In physics, a squeezed coherent state is any state of the quantum mechanical Hilbert space such that the uncertainty principle is saturated. That is, the product of the corresponding two operators takes on its minimum value:...
, which can exhibit super- or sub- Poissonean photon statistics. Such light is called squeezed light
Squeezed coherent state

In physics, a squeezed coherent state is any state of the quantum mechanical Hilbert space such that the uncertainty principle is saturated. That is, the product of the corresponding two operators takes on its minimum value:...
. Other important quantum aspects are related to correlations of photon statistics between different beams. For example, parametric nonlinear processes can generate so-called twin beams, where ideally each photon of one beam is associated with a photon in the other beam.

Atoms are considered as quantum mechanical oscillators with a discrete
Discrete space

In topology, a discrete space is a particularly simple example of a topological space or similar structure, one in which the points are "Isolated point" from each other in a certain sense....
 energy spectrum
Energy spectrum

An energy spectrum is a distribution of energy among a large assemblage of particles. It is a statistical representation of the wave energy as a function of the wave frequency, and an empirical estimator of the spectral function....
 with the transitions between the energy eigenstates being driven by the absorption or emission of light according to Einstein's theory with the oscillator strength depending on the quantum number
Quantum number

Quantum numbers describe values of conserved numbers in the dynamics of the quantum system. They often describe specifically the energies of electrons in atoms, but other possibilities include angular momentum, Spin etc....
s of the states.

For solid state matter one uses the energy band models of solid state physics. This is important as understanding how light is detected (typically by a solid-state device that absorbs it) is crucial for understanding experiments.

See also

  • Optics
    Optics

    Optics is the study of the behavior and properties of light including its optical phenomena with matter and its imaging by optical instruments....
  • Optical phase space
    Optical phase space

    In quantum optics, a phase space in which all quantum states of an optical system are described is called an optical phase space. Each point in the optical phase space corresponds to a unique state of an optical system....
  • Optical physics
    Optical physics

    Optical physics, or optical science, is a subfield of atomic, molecular, and optical physics. It is the study of the generation of electromagnetic radiation, the properties of that radiation, and the interaction of that radiation with matter, especially its manipulation and control....
  • Nonclassical light
    Nonclassical light

    Nonclassical light is any state of light that cannot be described using classical electromagnetism; its characteristics are described by the quantised electromagnetic field and quantum mechanics....


External links

  • , with content on quantum optics (particularly quantum noise in lasers), by Rüdiger Paschotta.
  • - A quantum physics wiki devoted to providing technical resources for practicing quantum physicists.
  • - a free-content WWW resource in quantum information science that anyone can edit.