Generation of a superposition of coherent states in a resonant cavity and its nonclassicality and decoherence

2008 ◽  
Vol 86 (6) ◽  
pp. 811-818 ◽  
Author(s):  
A Ghosh ◽  
P K Das
Keyword(s):  
Phase Space ◽  
Wigner Function ◽  
Coherent States ◽  
Resonant Cavity ◽  
The State ◽  
Compact Form ◽  
Photon Statistics ◽  
Negative Region ◽  
Analytic Expression

We discuss nonclassicality of a superposition of coherent states in terms of sub-Poissonian photon statistics as well as the negativity of the Wigner function. We derive an analytic expression for the Wigner function from which we find that the function has some negative region in phase space. We obtain a compact form of the Wigner function when decoherence occurs and study the effect of decoherence on the state. We demonstrate the behavior of the nonclassicality indicator.PACS Nos.: 42.50.Dv, 03.65.Yz

Comment on “Generation of a superposition of coherent states in a resonant cavity and its nonclassicality and decoherence”

2014 ◽  
Vol 92 (10) ◽  
pp. 1281-1282
Author(s):  
Gang Ren
Keyword(s):  
Coherent State ◽  
Wigner Function ◽  
Coherent States ◽  
Resonant Cavity ◽  
Analytic Expression

Arpita Ghosh and P.K. Das (Can. J. Phys. 86: 811 (2008) doi:10.1139/p08-013 ) derived an analytic expression for the Wigner function of a superposition of coherent state. We point out the incorrectness of this result.

The one-dimensional Hulthén potential in the quantum phase space representation

Open Physics ◽  
2014 ◽  
Vol 12 (2) ◽  
Author(s):  
Jerzy Stanek
Keyword(s):  
Phase Space ◽  
Wigner Function ◽  
Quantum Phase ◽  
Space Representation ◽  
Hulthén Potential ◽  
One Dimensional ◽  
Hulthen Potential ◽  
Analytic Expression ◽  
The One ◽  
Phase Space Representation

AbstractThe analytic expression of the Wigner function for bound eigenstates of the Hulthén potential in quantum phase space is obtained and presented by plotting this function for a few quantum states. In addition, the correct marginal distributions of the Wigner function in spherical coordinates are determined analytically.

scholarly journals DISCRETE COHERENT STATES FOR n QUBITS

2009 ◽  
Vol 07 (supp01) ◽  
pp. 17-25 ◽  
Author(s):  
CARLOS MUÑOZ ◽  
ANDREI B. KLIMOV ◽  
LUIS L. SÁNCHEZ-SOTO ◽  
GUNNAR BJÖRK
Keyword(s):  
Fourier Transform ◽  
Phase Space ◽  
Wigner Function ◽  
Coherent States ◽  
Finite Fourier Transform ◽  
Discrete Wigner Function

Discrete coherent states for a system of n qubits are introduced in terms of eigenstates of the finite Fourier transform. The properties of these states are pictured in phase space by resorting to the discrete Wigner function.

The negativity of partial transpose versus the negativity of Wigner function

2019 ◽  
Vol 16 (06) ◽  
pp. 1930003 ◽  
Author(s):  
Mustapha Ziane ◽  
Fatima-Zahra Siyouri ◽  
Morad El Baz ◽  
Yassine Hassouni
Keyword(s):  
Hilbert Space ◽  
Phase Space ◽  
Wigner Function ◽  
Coherent States ◽  
Good Measure ◽  
Multipartite Entanglement ◽  
Bipartite Entanglement ◽  
Different Types ◽  
Partial Transpose

We investigate the multipartite entanglement in the phase space using the negativity of Wigner function (NWF) and in the Hilbert space using the negativity of partial transpose (NPT). We analyze comparatively these quantities and the different types of entanglements that are present in two major classes — GHZ and [Formula: see text] — made of coherent states. We show that the negativity of Wigner function can be used as a good measure of genuine entanglement in multipartite systems. However, the negativity of partial transpose is a good quantifier for only the bipartite entanglement in tripartite systems.

NONTRIVIAL PHOTON STATISTICS WITH LOW RESOLUTION-THRESHOLD PHOTON COUNTERS

2007 ◽  
Vol 05 (01n02) ◽  
pp. 305-309 ◽  
Author(s):  
GUIDO ZAMBRA ◽  
ALESSIA ALLEVI ◽  
ALESSANDRA ANDREONI ◽  
MARIA BONDANI ◽  
MATTEO G. A. PARIS
Keyword(s):  
Maximum Likelihood ◽  
Quantum Efficiency ◽  
Coherent States ◽  
Maximum Likelihood Method ◽  
Beam Splitter ◽  
The State ◽  
Likelihood Method ◽  
Photon Statistics ◽  
Two Phase ◽  
Finite Resolution

We address the reconstruction of photon statistics using realistic photodetectors having low quantum efficiency and finite resolution as photon counters. Using a maximum-likelihood method, based on measurements taken at different quantum efficiencies, we experimentally reconstruct the nontrivial photon statistics of the state obtained by mixing at a beam-splitter two phase-averaged coherent states. The effect of using different resolution thresholds is also discussed.

scholarly journals Semi-Classical Localisation Properties of Quantum Oscillators on a Noncommutative Configuration Space

2015 ◽  
Vol 22 (04) ◽  
pp. 1550021 ◽  
Author(s):  
Fabio Benatti ◽  
Laure Gouba
Keyword(s):  
Phase Space ◽  
Configuration Space ◽  
Classical Limit ◽  
Coherent States ◽  
Point Of View ◽  
Quantum Mechanical ◽  
Wigner Functions ◽  
Quantum Mechanical Oscillators ◽  
Mechanical Oscillators ◽  
Space Noncommutativity

When dealing with the classical limit of two quantum mechanical oscillators on a noncommutative configuration space, the limits corresponding to the removal of configuration-space noncommutativity and position-momentum noncommutativity do not commute. We address this behaviour from the point of view of the phase-space localisation properties of the Wigner functions of coherent states under the two limits.

Determining the state of a single cavity mode from photon statistics

1997 ◽  
Vol 44 (11-12) ◽  
pp. 2427-2439 ◽  
Author(s):  
K. Jacobs ◽  
P. L. Knight ◽  
V. Vedral
Keyword(s):  
Cavity Mode ◽  
The State ◽  
Photon Statistics ◽  
Single Cavity ◽  
Single Cavity Mode
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