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Topic: Fock state

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Fock space

Quantum field theory

Density matrix

Wightman axioms

Second quantization

Interaction picture

Hilbert space

Boson

Photon

Dirac equation

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	[No title] (Site not responding. Last check: 2007-11-06)
		Fock states therefore represent the most basic quantum states and are maximally distant from what one would call a classical field.
		Fock states have a strong influence on atom-field interactions in the micromaser.
		Steady state effects such as the recently measured trapping states, which have a strongly peaked single photon number, are one example of this influence.
	fisica.cib.na.cnr.it /~mqc2/mqc2abs/varcoe.doc (744 words)

	Reconstruction of the single-photon Fock state
		Fock states also play a major role in more applied aspects of quantum optics, such as the rapidly developing fields of quantum communication and information.
		The biphoton – the entangled state emitted by the down-converter is a very complex entity and is emitted into a wide solid angle.
		The coherence properties of this mode are determined by the optical mode of the pump and the spatial and spectral filtering in the trigger channel.
	qis.ucalgary.ca /quantech/fock.html (1243 words)

	Fock space - Wikipedia, the free encyclopedia
		The Fock space is an algebraic system (Hilbert space) used in quantum mechanics to describe quantum states with a variable or unknown number of particles.
		Fock states are the natural basis of this space.
		Two operators of paramount importance are the creation and annihilation operators, which upon acting on a Fock state respectively remove and add a particle, in the ascribed quantum state.
	en.wikipedia.org /wiki/Fock_space (502 words)

	Walther Group: Laser Physics
		state determined by the resonance frequency of the cavity.
		Nevertheless using the entanglement between the atomic state and the maser field, it is possible to measure its properties by observing the statistics of the atoms leaving the resonator.
		The purpose of this new apparatus is the study of phase diffusion of the maser field.
	www.mpq.mpg.de /micromaser.html (479 words)

	Take a BrainSip (via CobWeb/3.1 planetlab2.cs.unc.edu) (Site not responding. Last check: 2007-11-06)
		A Fock state, in quantum mechanics, is any state of the Fock space with a well-defined number of particles in each state.
		If we limit to a single mode for simplicity (doing so we formally describe a mere harmonic oscillator), a Fock state is of the type ''n''> with n an integer value.
		Fock states form the most convenient basis of the Fock space.
	fock-state.mestskadoprava.sk.cob-web.org:8888 (147 words)

	Stamper-Kurn Group (Site not responding. Last check: 2007-11-06)
		The generation of atomic Fock states (number-states) can be important for studies of number-squeezed [1] or spin-squeezed [2] atomic systems as well as the production of photonic Fock states [3].
		Photonic Fock states are important for quantum cryptography [4] and computation [5].
		The Raman coupled states are chosen to be the ground 1,-1> and 2,+1> states because the transition is then first-order field independent.
	www.physics.berkeley.edu /research/ultracold/E2_nphoton.html (708 words)

	Fock statets (Site not responding. Last check: 2007-11-06)
		We propose a method to prepare in the cavity, with a single atom, a Fock state containing an arbitrary photon number.
		It is quite simple to prepare a single photon Fock state in the cavity by spontaneous emission.
		The final Fock state could be tested by a second atom, either through the quantum Rabi oscillation, or by a direct measurement of the Wigner function.
	www.lkb.ens.fr /recherche/qedcav/french/rydberg/perspectives/Fock.html (312 words)

	Quantum tomography of the displaced Fock states
		In optics, displacing an optical state can be implemented by overlapping it with a strong coherent state upon a highly reflecting beam splitter.
		An important difference between the undisplaced and displaced Fock states is that the latter does carry phase information so we had to implement the complete, phase-sensitive quantum tomography algorithm for its reconstruction.
		The Wigner functions are acquired for the coherent and displaced Fock states, with the displacement a = 0.6.
	qis.ucalgary.ca /quantech/dispfock.html (308 words)

	Maritime Topics On Stamps: Sisterships named 'Gorch Fock'
		This state of affairs continued for four years while 'Tall Ship Friends' were busy raising funds towards the ship’s future.
		There is the first 'Gorch Fock' ex 'Towarischtsch', the U.S. Coast Guard’s 'Eagle' ex 'Horst Wessel', the Portuguese 'Sagres II' ex 'Albert Leo Schlageter', and the Romanian 'Mircea'.
		As such she participated in 1976’s Bicentenary of American Independence in New York and the Bicentenary of the foundation of the Australian nation in Sydney in 1988.
	www.shipsonstamps.org /Topics/html/gorchfock.htm (1355 words)

	NIST Ion Storage Group (Site not responding. Last check: 2007-11-06)
		The interactions used to create coherent states of motion is formally equivalent to application of the "displacement operator" D(a) which, when applied to a given state, coherently displaces that state in phase space by an amount a.
		In the phase state picture, it is an overlap integral of the unknown state with the concentric "ripples" which are the Fock state Wigner function (see above).
		This ability to reconstruct the state of motion of our trapped atom is of paramount importance for studying decoherence (with applications to quantum computation and Schrödinger cat states).
	tf.nist.gov /ion/qucomp/recon.htm (592 words)

	Special Issue on Quantum Optics and Quantum Information
		In the scheme, a mode prepared in a squeezed vacuum is mixed with a mode prepared in a Fock state and photocounting is performed in one of the output channels of the beam splitter.
		In particular, we consider preparation of entangled quantum states of a vibrational motion of an ion confined in a 3D trapping potential.
		It is shown that the convolution of the Glauber-Sudarshan quasiprobabilities for Fock states does not lead to a new Glauber-Sudarshan quasiprobability for a "physical" state corresponding to positively definite density operators.
	www.acta.sav.sk /acta98/no3/contents.html (2374 words)

	[No title] (Site not responding. Last check: 2007-11-06)
		However, a state in one sector characterized by the occupation numbers ${(n_g,n_h \ldots n_m)}$ is orthogonal to any state in another sector characterized by another set of occupation numbers ${(n^{'}_g, n^{'}_h \ldots n^{'}_m)}$.
		This is the {\it Fock space of frozen states } and the asosciated statistics is {\it the statistics of frozen states}.
		States are symmetric under simultanueous exchange of latin and greek indices for quanta with different latin indices $(k \ne m)$.
	www.ma.utexas.edu /mp_arc/papers/94-43 (5996 words)

	Chapter6.htm (Site not responding. Last check: 2007-11-06)
		Thus, energies of transition state structures, which often involve partially broken bonds and unusual bonding arrangements, are typically overestimated by Hartree-Fock theory leading to overestimation of activation energy barriers.
		The lowest root of the determinant provides the (improved) energy of the electronic ground state; the second lowest root is an estimate of the energy of the lowest electronically excited state; and so on.
		All triplet states are of course orthogonal to the closed shell ground state due to the difference in spin multiplicities, so configuration interaction calculations can be carried out for one spin multiplicity at a time.
	www.rci.rutgers.edu /~kroghjes/KK-J421521/Handout11.htm (1740 words)

	Michael Rust
		Mathematically, this description is stated as an eigenvalue problem for an operator H, closely related to the classical Hamiltonian for the system under consideration.
		Here "best" is meant in a variational sense, since it is easily shown that the true ground state has the property that it has a lower expectation for the energy than any other conceivable state.
		In a CI calculation, we approximate the true ground state by combining "excited" states formed by reomving electrons from the lowest n wavefunctions and populating the higher unoccupied orbitals.
	www.math.hmc.edu /seniorthesis/archives/2001/mrust/mrust-2001-prop.html (817 words)

	Photonics.com Printer Friendly Article
		In it, a single-photon Fock state and a coherent state are incident on a beamsplitter with a reflectivity of 0.925.
		The researchers discovered that, although the former emerged unchanged, the latter transformed into the coherent superposition of the vacuum and single-photon Fock states.
		The researchers prepared the single-photon Fock states 1> by the down-conversion in BBO of 1.6-ps pulses from a Spectra-Physics Ti:sapphire laser.
	www.photonics.com /printerFriendly.aspx?contentID=77355 (413 words)

	Schrodinger Cats
		In this approach, only those sequences of atoms in which each atom is found after the interaction to be in a chosen state are used to reduce the field to the desired state, whereas all other measurement sequences are discarded.
		The optimization criterion proposed here as the basis for a general strategy of state preparation is the minimization of the distance to the target state divided by the success probability at every step of the CM sequence.
		The regime in which several number states are singled out from the initial distribution by the constructive interference and the atomic-excitation measurement results in the generation of amplitude or phase squeezed states.
	www.weizmann.ac.il /chemphys/kozh/cats.html (521 words)

	[No title]
		The energy eigenvalue for single-electron discrete (bound) states, or the phase shift for continuous states are also calculated.
		The off-diagonal energy parameters are also determined iteratively, while the phase shift for the continuous state is obtained by integrating the differential equation outwards, beyond the cut-off radius, until the asymptotic behaviour is reached.
		It may happen that the present program does not give a solution for certain states for which it is known that some resulting off-diagonal energy parameters are approximatley equal to or greater, in absolute value, than the single-particle energy (i.e.
	www.cpc.cs.qub.ac.uk /summaries/AAKZ_v1_0.html (387 words)

	Photon (via CobWeb/3.1 planetlab2.cs.unc.edu) (Site not responding. Last check: 2007-11-06)
		Because they have energy, the theory of general relativity states that they are affected by gravity, and this is confirmed by observation.
		Even visible light is commonly encountered in quantum states which are not "pure" photons but combinations (technically, superpositions) of large numbers of photons — either coherent superpositions (so-called coherent states, describing coherent light such as emitted by an ideal laser) or mixtures (so-called thermal states), describing light in thermal equilibrium (fl-body radiation).
		The associated quantum state is the Fock state denoted
	photon.kiwiki.homeip.net.cob-web.org:8888 (1020 words)

	The Fock State (Site not responding. Last check: 2007-11-06)
		A Fock state is the simplest type of field state.
		The Fock state is important not only as a theoretical tool but also experimentally.
		A Fock state does not generate a field which is wave--like in the classical sense, for the field's frequency cannot be specified due to the field's completely random phase.
	webphysics.davidson.edu /Projects/AnAntonelli/node43.html (176 words)

	Photon (via CobWeb/3.1 planetlab2.cs.unc.edu) (Site not responding. Last check: 2007-11-06)
		Nevertheless, because they have energy, the theory of general relativity states that they are affected by gravity, and this is confirmed by observation.
		Photons can be produced in a variety of ways, including emission from electrons as they are accelerated, or change energy state in atoms or molecules.
		For instance, in so-called coherent states, describing coherent light such as emitted by an ideal laser.
	photon.iqnaut.net.cob-web.org:8888 (1298 words)

	2.4 Post Hartree-Fock techniques
		A typical approach would be to truncate the expansion after only double or quadruple excitations from the reference determinant, where an excitation consists of replacing a ground state occupied orbital by an unoccupied one.
		Formally, CC singles-doubles scales as the sixth power of the number of basis states included in the expansion, and calculations including up to quadruple excitations scale as the tenth power of the number of states.
		The basis states depend on the underlying basis set used in their numeric expansion, equation 2.9, and it is commonly found that use of improved methods requires an improved basis set, further increasing the cost of calculation.
	www.physics.uc.edu /~pkent/thesis/pkthnode14.html (898 words)

	Brillouin Zone: Generation of Band Structures (Site not responding. Last check: 2007-11-06)
		Of all the unit cells, this one is the only one for which the entire Fock matrix is not present; instead only the lower-half triangle is available.
		The Fock matrix representing the interaction of the CUC with the next unit cell, (0,0,1), or (0,0,2) if BCC is specified, is then extracted, as are all the small Fock matrices.
		As phrases of the type "The Fock matrix representing the interaction of the CUC with unit cell (i,j,k)" are cumbersome, from here on, the term "unit cell (i,j,k)" should be understood as having the same meaning.
	www.cachesoftware.com /mopac/Mopac2002manual/node558.html (838 words)

	The Decay of a Fock State (Site not responding. Last check: 2007-11-06)
		The Fock state is the most mathematically simple field state.
		A 1989 paper by Ning Lu at the University of New Mexico examines the decay of a Fock state interacting with a thermal reservoir at absolute zero.[21] Set the number of field states to one hundred and make the field a Fock state with n=99 (Remember that there is a n=0 state) and set
		The lifetime of the field is the amount of time necessary for the field to decay to a thermal state, which at absolute zero is the vacuum state.
	webphysics.davidson.edu /Projects/AnAntonelli/node57.html (271 words)

	APS - 2005 APS March Meeting - Event - The Hartree-Fock ground state of high-density jellium (via CobWeb/3.1 ... (Site not responding. Last check: 2007-11-06)
		The usual textbook paramagnetic solution is not the Hartree-Fock (HF) ground state of the uniform electron gas (jellium).
		We obtain numerically the unrestricted Hartree-Fock (uHF) ground state of 3-D jellium, using a projection technique starting from random initial states.
		We study the energetics of the uHF ground state, and discuss its real- and ${\mathbf k}$-space structures.
	meetings.aps.org.cob-web.org:8888 /Meeting/MAR05/Event/22237 (136 words)

	Quantum state reconstruction of the single-photon Fock state (Site not responding. Last check: 2007-11-06)
		We have reconstructed the quantum state of optical pulses containing single photons using the method of phase-randomized pulsed optical homodyne tomography.
		The single-photon Fock state 1> was prepared using conditional measurements on photon pairs born in the process of parametric down-conversion.
		A probability distribution of the phase-averaged electric field amplitudes with a strongly non Gaussian shape is obtained with the total detection efficiency of (55 ± 1)%.
	www.exphy.uni-duesseldorf.de /Publikationen/pub01_2.htm (118 words)

	Coherent state - Wikipedia, the free encyclopedia (via CobWeb/3.1 planetlab2.cs.unc.edu) (Site not responding. Last check: 2007-11-06)
		Roy J. Glauber coined the term "coherent state" and proved they are produced when a classical electrical current interacts with the electromagnetic field.
		The last state is known as Agarwal state denoted as
		Glauber States: Coherent states of Quantum Harmonic Oscillator
	en.wikipedia.org.cob-web.org:8888 /wiki/Coherent_state (1770 words)

	Photon - Wikipedia, the free encyclopedia (via CobWeb/3.1 planetlab2.cs.unc.edu) (Site not responding. Last check: 2007-11-06)
		Photons are emitted in many natural processes, e.g., when a charge is accelerated, when an atom or a nucleus jumps from a higher to lower energy level, or when a particle and its antiparticle are annihilated.
		In the same papers, Einstein extended Bose's formalism to material particles (bosons) and predicted that they would condense into their lowest quantum state at low enough temperatures; this Bose–Einstein condensation was observed experimentally in 1995.
		Dirac's second-order perturbation theory can involve virtual photons, transient intermediate states of the electromagnetic field; the static electric and magnetic interactions are mediated by such virtual photons.
	en.wikipedia.org.cob-web.org:8888 /wiki/Photon (6410 words)

	Fock state - Wikipedia, the free encyclopedia
		Further information might be found on the talk page or at requests for expansion.
		If we limit to a single mode for simplicity (doing so we formally describe a mere harmonic oscillator), a Fock state is of the type
		This page was last modified 22:48, 3 November 2006.
	en.wikipedia.org /wiki/Fock_state (185 words)

	[No title]
		Fock representation for two-mode quantum phase operators' eigenstates
		Quantum fluctuation of two-mode squeezed thermal vacuum states and the thermal Wigner operator studied by virtue of andlt;eta vertical bar representation
		Fan HY; Chen JH Coherent state projection operator representation of symplectic transformations as a loyal representation of symplectic group
	www.garfield.library.upenn.edu /histcomp/fan_hy_all_fixed/index.html (2545 words)

	Quantum Optics Group_Publications (via CobWeb/3.1 planetlab2.cs.unc.edu) (Site not responding. Last check: 2007-11-06)
		Di Nepi, F. De Martini, M. Barbieri, and P. Mataloni, "Parametric source of two-photon states with a tunable degree of entanglement and mixing: Experimental preparation of Werner states and maximally entangled mixed states"
		De Martini and G. Di Giuseppe, "Macroscopic Quantum Superposition by Parity Selective Amplification of Entangled Photon States": Proceedings of the workshop "Mysteries, Puzzles and Paradoxes in Quantum Mechanics" Gargnano 17-23 September 2000; quant-ph/0011081; Zeitschrift fur Naturforschung 56a, 1.
		Ciancaleoni, F. De Martini, O. Jedrkiewicz and P. Mataloni, "Angular distribution of the Spontaneous Emission in a planar dielectric dye microcavity" JOSA B 14,7.
	quantumoptics.phys.uniroma1.it.cob-web.org:8888 /publications.htm (1685 words)

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