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Coherence of Superposition States*
Communications in Theoretical Physics, 2019Abstract 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.
Yuwen, Shan-Shan +2 more
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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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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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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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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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Generalized coherent states and generalized squeezed coherent states
Physical Review D, 1985Roy 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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Coherent and thermal coherent state
Journal of Mathematical Physics, 1989The 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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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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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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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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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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Coherent states and the -representation
Journal of Physics A: Mathematical and General, 1997Summary: Commuting translations in the phase plane are shown to be observables that are canonically conjugate to the annihilation operator of the harmonic oscillator states. The eigenfunctions and the eigenvalues of these commuting operators form the \(kq\)-representation. The eigenfunctions of the annihilation operator are the coherent states.
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Critical state of non-coherent multi-state system
Reliability Engineering and System Safety, 2021Peter Sedlacek +2 more
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