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Topic: Squeezed coherent state


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In the News (Tue 14 Feb 12)

  
  Squeezed coherent state - Wikipedia, the free encyclopedia
The wave packet of a squeezed state is defined by the square of the wave function introduced in the last paragraph.
The squeezing angle, that is the phase with minimum quantum noise, has a large influence on the photon number distribution of the light wave and its phase distribution as well.
For amplitude squeezed light the photon number distribution is usually narrower than the one of a coherent state of the same amplitude resulting in sub-poissonian light, whereas its phase distribution ist wider.
en.wikipedia.org /wiki/Squeezed_coherent_state   (892 words)

  
 Coherent state - Wikipedia, the free encyclopedia
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.
The coherent state's location in the complex plane (phase space) is centered at the position and momentum of a classical oscillator of the same phase θ and amplitude (or the same complex electric field value for an electromagnetic wave).
In quantum field theory and string theory, a generalization of coherent states to the case of infinitely many degrees of freedom is used to define a vacuum state with a different vacuum expectation value from the original vacuum.
en.wikipedia.org /wiki/Coherent_state   (1683 words)

  
 Coherent state   (Site not responding. Last check: 2007-10-29)
In quantum mechanics a coherent state is a quantum state which describes coherent fields, fields where all of the particles involved share some measurable property that allows them to be thought of asbeing "in phase", or in other circumstances, one larger object.
In the wave-particle duality reminiscent in allquantum states, the coherent state stands on one extreme, namely, it behaves as much as possible as a wave, whereas the Fock state (like a photon) stands on the other end, namely the particle behaviour.
In quantum optics the coherent state is the quantum state of lightemitted by an ideal laser.
www.therfcc.org /coherent-state-35805.html   (697 words)

  
 Coherent state - Term Explanation on IndexSuche.Com
In quantum_optics the coherent state is the quantum state of light emitted by an ideal laser.
In a Fock_space, the coherent state is the eigenstate of the annihilation operators: :(a\phi)\psi\rangle=\langle\phi\psi\rangle\psi\rangle if ''ψ''> is a coherent state, with ''a(φ)'' the operator which annihilate the particle which wavefunction is ''φ''>.
The coherent state was introduced by Schrödinger as the quantum_state of the harmonic oscillator which minimizes the uncertainty_relation with uncertainty equally distributed in both position ''P'' and impulsion ''X'' (if the uncertainty is not equally distributed, the state is a squeezed_coherent_state).
www.indexsuche.com /Coherent_state.html   (714 words)

  
 NIST Ion Storage Group   (Site not responding. Last check: 2007-10-29)
A coherent state corresponds to a well-localized wavepacket (identical in shape to the Gaussian
Coherent states are the closest quantum-mechanical analogue to a classical particle oscillating in a harmonic potential.
for a squeezed state is shown below, along with a single-parameter fit to B, yielding B = 40 ±10 (a 16 dB reduction of the uncertainty of one quadrature below the standard "quantum limit").
tf.nist.gov /ion/qucomp/nonclass.htm   (406 words)

  
 Quantum mechanics - Wikipedia, the free encyclopedia
So in normal atoms with electrons in stationary states, the probability of the electron being within the nucleus (or somewhere else in atom within similarly small volume) is nearly zero according to the Uncertainty Principle (it is nearly zero as the nucleus has a volume and is not a point).
In the mathematically rigorous formulation of quantum mechanics, developed by Paul Dirac and John von Neumann, the possible states of a quantum mechanical system are represented by unit vectors (called "state vectors") residing in a complex separable Hilbert space (variously called the "state space" or the "associated Hilbert space" of the system).
During a measurement, the probability that a system collapses from a given initial state to a particular eigenstate is given by the square of the absolute value of the probability amplitudes between the initial and final states.
en.wikipedia.org /wiki/Quantum_mechanics   (5513 words)

  
 Encyclopedia of Laser Physics and Technology - squeezed states of light, squeezing, nonclassical light, standard ...
Squeezed states of light (or squeezed light) are a kind of nonclassical light and constitute an interesting subject of quantum optics, the investigation of which began in the 1980's.
Squeezed light is best understood by considering complex phasors for the representation of the state of light in one mode of the optical field.
Squeezed light can be generated from light in a coherent state or vacuum state by using certain optical nonlinear interactions.
www.rp-photonics.com /squeezed_states_of_light.html   (806 words)

  
 Squeezed coherent state: Facts and details from Encyclopedia Topic   (Site not responding. Last check: 2007-10-29)
The simplest such state is the ground state of the quantum harmonic oscillator quantum harmonic oscillator quick summary:
In quantum mechanics a coherent state is the quantum state of a particle in a harmonic (quadratic) potential well that is the closest approximation to the motion...
(it is a generalization of the ground state as well as the coherent state.
www.absoluteastronomy.com /encyclopedia/s/sq/squeezed_coherent_state.htm   (635 words)

  
 [No title]   (Site not responding. Last check: 2007-10-29)
China (including its vassals/tributaries) is viewed as a coherent state formed since time immemorial and exists as one legal entity even in periods of political disunity.
Numerous leaders within the PLO and the PA, including Yasser Arafat himself, have declared that the State of Israel has a permanent right to exist, and that the peace treaty with Israel is genuine, though members of the PLO have claimed responsibility for a number of attacks against Israelis since the Oslo Accords.
One major problem is keeping the components of the computer in a coherent state as the slightest interaction with the external world would cause the system to decohere.
www.worldhistory.com /wiki/c/coherent-state.htm   (909 words)

  
 Vitiello's Quantum Brain
Squeezed states are able to operate at very low noise fluctuation levels in the sensing degree of freedom.
Squeezed states are proposed by Braginsky for use in quantum engineering as ultra-sensitive detectors of, for example, the ultra-weak gravitational waves.
The squeezed Frohlich membrane states might be able to detect Penrose's "single graviton" for his "orchestrated collapse." This is formally a theory of non-equilibirum biological superconductivity.
www.qedcorp.com /pcr/pcr/vitiello.html   (1965 words)

  
 Quantum Teleportation
Squeezed light is used to generate the entangled (EPR) beams which are sent to Alice and Bob.
A third beam, the input, is a coherent state of unknown complex amplitude.
EPR beam 1 propagates to Alice's sending station, where it is combined at a 50/50 beamsplitter with the unknown input state, in this case a coherent state of unknown complex amplitude.
www.cco.caltech.edu /%7Eqoptics/teleport.html   (532 words)

  
 Squeezed Pion States and Pion Interferometry
The DCC is a coherent pion field configuration in the sense that the pion field is correlated at points whose mutual distance is less than the correlation length.
The general minimum uncertainty state is a squeezed state, in which one quadrature is squeezed relative to the other.
Hence it is natural to identify the quantum state for each momentum mode in the DCC state as a squeezed state as first pointed out by [35].
www-cunuke.phys.columbia.edu /PROGRESS/subsubsection3_3_4_2.html   (461 words)

  
 More on Quantum Optics
A frequently encountered state of the light field is the coherent state as introduced by R. Glauber in 1963.
Via certain nonlinear interactions, a coherent state can be transformed into a squeezed coherent state, which can exhibit super- or sub-Poissonean photon statistics.
Atoms are considered as quantum mechanical oscillators with a discrete energy spectrum 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 numbers of the states.
www.artilifes.com /quantum-optics.htm   (912 words)

  
 squeezed coherent state   (Site not responding. Last check: 2007-10-29)
In physics, a squeezed coherent state is every state in the Hilbert space of quantum mechanics that saturates the uncertainty principle (the inequality becomes equality):
The simplest such state is the ground state of the quantum harmonic oscillator, namely
The new feature relative to a coherent state is the free value of the width
en.mcfly.org /squeezed_coherent_state   (182 words)

  
 Citations of papers by Adam Miranowicz   (Site not responding. Last check: 2007-10-29)
A. Miranowicz, R. Tanas, and S. Kielich: Generation of discrete superpositions of coherent states in the anharmonic oscillator model, Quantum Opt.
Dong: The squeezing of angular momentum and its evolutions in atomic Schrödinger cat states, Acta Phys.
A. Miranowicz: Violation of Bell inequality and entanglement of decaying Werner states, Phys.
zon8.physd.amu.edu.pl /~miran/sci.html   (6934 words)

  
 Coherent state - InformationBlast
In quantum mechanics a coherent state is a quantum state which describes coherent fields, fields where all of the particles involved share some measurable property that allows them to be thought of as being "in phase", or in other circumstances, one larger object.
For instance a light bulb gives off light that is actually the result of the light being emitted at all the points along the filament, and such light is not coherent because the process is highly random.
In the laser however, the light is emitted "all at once" from a carefully controlled mixture of atoms, the process is not random and the resulting light is highly ordered, or coherent.
www.informationblast.com /Coherent_state.html   (750 words)

  
 The Squeezed Coherent State
A squeezed coherent state is more general than the coherent state, but its properties are similar.
A coherent state is a special case of a squeezed state.
The principle difference between the coherent and squeezed coherent state is that the variances of momentum and position are not constant.
webphysics.davidson.edu /Projects/AnAntonelli/node47.html   (343 words)

  
 Quantum Brain
This suggests that the brain may be in states characterized by the existence of long-range correlations among its elementary constituents; such long-range correlations seem to play a more fundamental role than the functioning of the single cell in the brain activity.
The stability of the memory is ensured by the fact that coding occurs in the lowest energy state and the memory's nonlocal character is guaranteed by the coherence of the dwq (or symmetron) condensate.
....we thus conclude that the memory state and its time-evolved state are squeezed coherent states.
www.qedcorp.com /pcr/pcr/qbrain.html   (5248 words)

  
 Coherent Squeezed State   (Site not responding. Last check: 2007-10-29)
The squeezing of a coherent state can be visualized in a number of ways.
A coherent state is a squeezed state with r=0.
The dip is due to the squeezing of the variances.
webphysics.davidson.edu /Projects/AnAntonelli/node55.html   (183 words)

  
 publications
"Squeezing and Wigner Operator in the Representation of Rotated Quadrature Phases," H.
"Generation and Application of Squeezed States of Light," H. Kimble, R.J. Brecha, L.A. Orozco, M.G. Raizen, L.A. Wu, and Min Xiao, in Proceedings of Eighth International Conference on Laser Spectroscopy, Are, Sweden, (Springer-Verlag, Berlin, 1987).
"Squeezed State Generation by the Normal Mode Splitting of Two-Level Atoms in an Optical Cavity," H.J. Kimble, M.G. Raizen, L.A. Orozco, Min Xiao, and T.L. Boyd, in Fundamentals of Quantum Optics II, ed.
www.uark.edu /misc/quantopt/publications.html   (2793 words)

  
 WPI Archives: Faculty Papers   (Site not responding. Last check: 2007-10-29)
Influence of initial conditions on squeezing and anti-bunching in the Jaynes-Cummings model / P K Aravind, Guanghui Hu.
Pseudospin approach to the dynamics and squeezing of SU(2) and SU(1,1) coherent states / P K Aravind.
Expansion coefficients of a squeezed coherent state in the number state basis / P K Aravind, J J Gong.
www.wpi.edu /Academics/Library/Archives/Facpaper/aravind.html   (391 words)

  
 Bindu A. Bambah (ResearchIndex)
Abstract: Using the `quantum optical approach' we propose a model of multiplicity distributions in high energy collisions based on squeezed coherent states.
We show that the k-mode squeezed coherent state is the most general one in describing hadronic mulitiplicity distributions in particle collision processes, describing not only pp collisions but e + e \Gamma, p and diffractive collisions as well.
0.3: Von Neumann and Shannon-Wehrl Entropy for Squeezed States..
citeseer.ist.psu.edu /42195.html   (285 words)

  
 Squeezed States Information   (Site not responding. Last check: 2007-10-29)
Uncertainty regions for various types of quantum states are shown in the left column, together with the time dependences of x(t) (or p(t)) (blue-grey curves) and their uncertainties (light blue shaded area), in the right column.
(a) The uncertainty region for the vacuum state is a circle centered at the origin.
As with the squeezed-vacuum state (b), the electric field shows a periodic reduction and enhancement of its uncertainty.
squeezedstates.net   (256 words)

  
 Rinton Press - Publisher in Science and Technology
This book is based on lecture notes developed in last twenty two years during which the authors have been teaching a core graduate course, Quantum Mechanics II, at Fudan University.
It covers a very broad range of topics, presenting the state of the art in Quantum Mechanics.
Discussions on some topics such as Levinson theorem, Casimir effect, the essence of special relativity, the interpretation of wave function, geometric phase, fractional statistics, and paradoxes in quantum mechanics, reflect to some extent the authors' own research results.
www.rintonpress.com /books/gni.html   (475 words)

  
 Complex measure, coherent state and squeezed state representation   (Site not responding. Last check: 2007-10-29)
Coherent states are studied within the framework of complex measurable processes.
It is shown that squeezed states can be accommodated within this framework and all the relevant results relating to squeezed states are derived.
A generalization to complex coordinates is also provided and it is shown to lead to the Wigner distribution in a natural way.
stacks.iop.org /0305-4470/31/4541   (216 words)

  
 Eigenvalue equation of squeezed coherent states   (Site not responding. Last check: 2007-10-29)
In this paper, we define the eigenvalue equation of the squeezed coherent state using recently introduced inverse annihilation and creation operators.
The salient feature of the eigenvalue equation of the squeezed coherent state is that it consistently yields the eigenvalue equation of the squeezed vacuum when the coherent amplitude is reduced to zero.
The squeezed coherent state defined by others, without using the inverse operators, cannot be reduced to the squeezed vacuum state.
stacks.iop.org /0305-4470/35/8953   (297 words)

  
 Quantum mechanics -   (Site not responding. Last check: 2007-10-29)
One of the oldest and most commonly used formulations is the transformation theory invented by Paul Dirac, which unifies and generalizes the two earliest formulations of quantum mechanics, matrix mechanics (invented by Werner Heisenberg) and wave mechanics (invented by Erwin Schrödinger).
It turns out that analytic solutions of Schrödinger's equation are only available for a small number of model Hamiltonians, of which the quantum harmonic oscillator and the hydrogen atom are the most important representatives.
In 1924, Louis de Broglie put forward his theory of matter waves by stating that any matter can exhibit wave characteristics and vice versa.
psychcentral.com /psypsych/Quantum_mechanical   (5427 words)

  
 John Baez: Perhaps the nicest Gaussian of all
There is a big theory of coherent states which makes this a lot more precise, but let's not get into that.
In this state, the expectation value of position is obviously zero, since the bump is symmetrically centered at the origin.
This is the coherent state I wanted Michael to express in terms of eigenstates of the harmonic oscillator Hamiltonian.
math.ucr.edu /home/baez/photon/nicest.htm   (955 words)

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