Wigner function and density operator of the photon-subtracted squeezed thermal state

2009 ◽  
Vol 18 (11) ◽  
pp. 4657-4661 ◽  
Author(s):  
Hu Li-Yun ◽  
Fan Hong-Yi
Keyword(s):  
Wigner Function ◽  
Density Operator ◽  
Thermal State

SOME FEATURES OF SQUEEZED NEGATIVE BINOMIAL STATE

1992 ◽  
Vol 06 (03n04) ◽  
pp. 409-415 ◽  
Author(s):  
AMITABH JOSHI ◽  
S. V. LAWANDE
Keyword(s):  
Electromagnetic Field ◽  
Density Matrix ◽  
Wigner Function ◽  
Negative Binomial ◽  
Thermal State ◽  
Photon Number ◽  
Binomial State ◽  
Relationship Of ◽  
The Relationship ◽  
Photon Number Distribution

Properties of electromagnetic field in the squeezed negative binomial state are investigated in terms of photon number distribution and Wigner function. The relationship of the density matrix of the squeezed negative binomial state to the density matrix of the squeezed thermal state is shown explicitly. The possibility of generation of the negative binomial state is also discussed.

Evolution of the number state in laser process

2015 ◽  
Vol 29 (19) ◽  
pp. 1550139
Author(s):  
Fuyi You ◽  
Junhua Chen ◽  
Hongyi Fan ◽  
Wenhui Jiang
Keyword(s):  
Wigner Function ◽  
Density Operator ◽  
Jacobi Polynomials ◽  
Photon Number ◽  
Laser Process ◽  
Number State ◽  
Degree Of Coherence ◽  
The Mean ◽  
Analytic Expression ◽  
Second Degree

We investigate systematically the evolution of the number state in a laser process by deriving the analytic expression of the density operator and putting it into a normal ordered form. The eigenvalue of the density operator is related to Jacobi polynomials. Then we derive the expression for the mean photon number, the second degree of coherence, the entropy, Wigner function and the photoncount distribution. The nonclassicality is discussed by virtue of the negativity of Wigner function. It is found that the Wigner function is always negative for t < t0, which is independent on the parameter m. On the other hand, the condition for the second degree of coherence larger than 1 is dependent on the parameter m.

WIGNER FUNCTION EVOLUTION OF EXCITED EVEN AND ODD COHERENT STATE IN THERMAL ENVIRONMENT VIA THERMO ENTANGLED APPROACH

2013 ◽  
Vol 27 (23) ◽  
pp. 1350120 ◽  
Author(s):  
HONG-CHUN YUAN ◽  
YE-JUN XU ◽  
LEI CHEN ◽  
XUE-FEN XU
Keyword(s):  
Coherent State ◽  
Wigner Function ◽  
Decay Time ◽  
Arbitrary Number ◽  
Coherent States ◽  
Density Operator ◽  
Thermal Environment ◽  
New Approach ◽  
Non Gaussian ◽  
Analytical Expressions

We adopt a new approach, thermo entangled representation, to study time evolution of density operator in thermal environment. We then investigate the analytical expressions of Wigner function (WF) evolution of arbitrary number excited coherent states (ECSs) and excited even (odd) coherent states (EECSs, EOCSs) in thermal environment, respectively. In addition, their nonclassicality is numerically discussed by exploring the negativity of WF with decay time in thermal channel, respectively. It is found that WF loses its non-Gaussian nature and becomes Gaussian after long times.

Wigner function for squeezed negative binomial state and evolution of density operator for amplitude decay

2019 ◽  
Vol 28 (9) ◽  
pp. 090302 ◽  
Author(s):  
Heng-Yun Lv ◽  
Ji-Suo Wang ◽  
Xiao-Yan Zhang ◽  
Meng-Yan Wu ◽  
Bao-Long Liang ◽  
...  
Keyword(s):  
Wigner Function ◽  
Density Operator ◽  
Negative Binomial ◽  
Binomial State

Photon-Number Distribution and Wigner Function of Generalized Squeezed Thermal State

2012 ◽  
Vol 51 (9) ◽  
pp. 2681-2689 ◽  
Author(s):  
Jun Zhou ◽  
Jun Song ◽  
Hao Yuan ◽  
Bo Zhang ◽  
Chuan-Mei Xie ◽  
...  
Keyword(s):  
Wigner Function ◽  
Thermal State ◽  
Photon Number ◽  
Number Distribution ◽  
Photon Number Distribution

scholarly journals Lie algebras and generalized thermal coherent states

2017 ◽  
Vol 32 (02n03) ◽  
pp. 1750015 ◽  
Author(s):  
Sergio Floquet ◽  
Marco A. S. Trindade ◽  
J. David M. Vianna
Keyword(s):  
Lie Groups ◽  
Lie Algebras ◽  
Wigner Function ◽  
Coherent States ◽  
Density Operator ◽  
Coset Space ◽  
Algebraic Formulation ◽  
Quantum Fidelity

In this paper, we developed an algebraic formulation for the generalized thermal coherent states with a thermofield dynamics approach for multi-modes, based on coset space of Lie groups. In particular, we applied our construction on SU(2) and SU(1,[Formula: see text]1) symmetries and we obtain their thermal coherent states and density operator. We also calculate their thermal quantum Fidelity and thermal Wigner function.

QUANTUM AND THERMAL STATE FOR EXPONENTIALLY DAMPED HARMONIC OSCILLATOR WITH AND WITHOUT INVERSE QUADRATIC POTENTIAL

2002 ◽  
Vol 16 (09) ◽  
pp. 1341-1351 ◽  
Author(s):  
J. R. CHOI
Keyword(s):  
Harmonic Oscillator ◽  
Density Operator ◽  
Thermal State ◽  
Mechanical Energy ◽  
Invariant Operator ◽  
Diagonal Element ◽  
Quadratic Potential ◽  
Damped Harmonic Oscillator ◽  
Energy Expectation ◽  
Quantum Mechanical Energy

By taking advantage of dynamical invariant operator, we derived Schrödinger solution for exponentially damped harmonic oscillator with and without inverse quadratic potential. We investigated quantum mechanical energy expectation value, uncertainty relation, partition function and density operator of the system. The various expectation values in thermal state are calculated using the diagonal element of density operator.

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