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Nonlinear coherent states

Physical Review A, 1996
We consider a class of nonlinear coherent states, which are right-hand eigenstates of the product of the boson annihilation operator and a nonlinear function of the number operator. Such states may appear as stationary states of the center-of-mass motion of a trapped and bichromatically laser-driven ion far from the Lamb-Dicke regime. Besides coherence
, de Matos Filho RL, , Vogel
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TRICOMI COHERENT STATES

International Journal of Modern Physics B, 2001
We construct explicit families of coherent states whose parametrization permits an arbitrarily small deviation from conventional coherent states. They possess the resolution of unity with a positive weight function given as the solution of a Stieltjes power-moment problem, with moments analytically expressible through Tricomi's confluent ...
Sixdeniers, J.-M.   +2 more
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Entangled coherent states

Physical Review A, 1992
The nonlinear Mach-Zehnder interferometer is presented as a device whereby a pair of coherent states can be transformed into an entangled superposition of coherent states for which the notion of entanglement is generalized to include nonorthogonal, but distinct, component states. Each mode is directed to a homodyne detector.
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Generalized coherent states and generalized squeezed coherent states

Physical Review D, 1985
Roy and Virendra Singh showed that the harmonic oscillator possesses an infinite string of exact shape-preserving coherent wave-packet states \ensuremath{\Vert}n,\ensuremath{\alpha}〉 having classical motion. In this paper it is shown that the states \ensuremath{\Vert}n,\ensuremath{\alpha}〉 could be obtained from the coherent state \ensuremath{\Vert ...
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Generalized Coherent States Representation

Lobachevskii Journal of Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kalmetev, R. Sh.   +2 more
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Coherent and thermal coherent state

Journal of Mathematical Physics, 1989
The characterization of coherent states as the quantum states that split into two uncorrelated beams is considered. The characterization leads to the study of coherent states at finite temperature—thermal coherent states (TCS’s). These TCS’s are defined within the formalism of thermo field dynamics (TFD).
Mann, A.   +4 more
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Coherent States

2014
Abstract This chapter defines and determines the properties of the important (though non-physical) boson and fermion coherent states, which are specified in terms of c-number (bosons) or Grassmann (fermions) variables and their complex conjugates, and defined via unitary displacement operators acting on the vacuum state.
Bryan J. Dalton   +2 more
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Multidimensional generalized coherent states

Journal of Physics A: Mathematical and General, 2002
Summary: Generalized coherent states were presented recently for systems with one degree of freedom having discrete and/or continuous spectra. We extend that definition to systems with several degrees of freedom, give some examples and apply the formalism to the model of two-dimensional fermion gas in a constant magnetic field.
Novaes, M., Gazeau, J. P.
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Stability of coherent states

Journal of Physics A: Mathematical and General, 1985
The definition of coherent states for an arbitrary Lie group G is reviewed in the first two sections, and the original Glauber coherent states are exhibited as the particular case in which G is the Weyl group. The question of how the formalism is altered under perturbations of the Hamiltonian is addressed in section 3.
G. D'ARIANO   +2 more
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Coherence of Superposition States*

Communications in Theoretical Physics, 2019
Abstract We find tight upper bound on the coherence of a superposition of two states in terms of the coherence of the two states constituting the superposition with l 1-norm of coherence. Our upper bound is tighter than the one presented by Liu, et al. [Quantum Inf. Process.
Yuwen, Shan-Shan   +2 more
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