Squeezing of the multiple-photon-added squeezed thermal state and its Wigner-function evolution in a laser channel

Laser Physics ◽  
2019 ◽  
Vol 29 (6) ◽  
pp. 065002 ◽  
Author(s):  
Ye-Jun Xu ◽  
Xiang-Guo Meng
Keyword(s):  
Wigner Function ◽  
Thermal State ◽  
Laser Channel

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.

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

NEW APPLICATION OF THERMO FIELD DYNAMICS IN SIMPLIFYING THE CALCULATION OF WIGNER FUNCTIONS

2003 ◽  
Vol 18 (11) ◽  
pp. 733-742 ◽  
Author(s):  
HONGYI FAN
Keyword(s):  
Matrix Element ◽  
Wigner Function ◽  
Thermal State ◽  
Ensemble Average ◽  
Wigner Functions ◽  
State Representation ◽  
Density Matrices ◽  
Wigner Operator ◽  
Thermo Field Dynamics ◽  
Thermal States

We find that the Thermo Field Dynamics, invented by Takahashi and Umezawa, can simplify calculations of Wigner functions for density matrices ρ. Using the coherent thermal state representation (Phys. Lett.A246, 242 (1998)), we show that the Wigner function W = Tr (Δρ) (an ensemble average of the Wigner operator Δ) can be expressed as a matrix element of ρ in the pure coherent thermal states. Wigner functions for some complicated density matrices are derived in this way.

Nonclassicality revival of photon-added displaced thermal states in the amplitude decay channel

2020 ◽  
Vol 98 (5) ◽  
pp. 458-463 ◽  
Author(s):  
Ran Zhang ◽  
Xiang-Guo Meng ◽  
Jian-Meng Sun ◽  
Ji-Suo Wang
Keyword(s):  
Time Evolution ◽  
Wigner Function ◽  
Thermal State ◽  
Decay Channel ◽  
Product Representation ◽  
Normal Product ◽  
Decoherence Rate ◽  
Thermal States

In this paper, the decoherence features of the photon-added displaced thermal state (PADTS) in the amplitude decay channel were studied by analytically and numerically investigating the time evolution of the Wigner function. The normal product representation of density for the PADTS is presented. The results indicate that the nonclassicality of PADTS can revive after disappearing with time. This kind of revival can maintain for a period of time and inevitably disappear eventually. However, we find that the operation of adding photons has the effect of reducing the decoherence rate of PADTS in the amplitude decay channel, although it also can decrease the PADTS’s nonclassicality markedly.

Quantifying decoherence effect of photon-modulated squeezed vacuum states

2014 ◽  
Vol 28 (28) ◽  
pp. 1450219 ◽  
Author(s):  
Zhen Wang ◽  
Kai Jiang ◽  
Heng-Mei Li ◽  
Hong-Chun Yuan
Keyword(s):  
Wigner Function ◽  
Legendre Polynomials ◽  
Density Operator ◽  
Quantum Control ◽  
Optimal Strategies ◽  
Normalization Constant ◽  
Laser Channel ◽  
Squeezed Vacuum ◽  
Vacuum States ◽  
Decoherence Effect

In this paper, we theoretically put forward the photon-modulated squeezed vacuum states (PMSVS) by applying photon-modulated operator on squeezed vacuum states. Starting from the normally ordered density operator as well as the technique of integration within an ordered product of operators, the normalization constant is obtained, which is related to the Legendre polynomials. In addition, by deriving the normally ordered density operator and Wigner function of PMSVS in laser channel and thermal channel, the decoherence process is discussed, respectively. The investigations may provide experimentalists with some better references in quantum control and building optimal strategies to suppress decoherence.

scholarly journals Wigner Function Reconstruction in Levitated Optomechanics

2017 ◽  
Vol 4 (1) ◽  
Author(s):  
Muddassar Rashid ◽  
Marko Toroš ◽  
Hendrik Ulbricht
Keyword(s):  
Wigner Function ◽  
Continuous Measurement ◽  
Laser Light ◽  
Thermal State ◽  
Optical Cavity ◽  
Homodyne Detection ◽  
Perfect Agreement ◽  
Optomechanical Systems ◽  
Mechanical Coupling ◽  
Quantum State Preparation

AbstractWe demonstrate the reconstruction of theWigner function from marginal distributions of the motion of a single trapped particle using homodyne detection. We show that it is possible to generate quantum states of levitated optomechanical systems even under the efect of continuous measurement by the trapping laser light. We describe the opto-mechanical coupling for the case of the particle trapped by a free-space focused laser beam, explicitly for the case without an optical cavity. We use the scheme to reconstruct the Wigner function of experimental data in perfect agreement with the expected Gaussian distribution of a thermal state of motion. This opens a route for quantum state preparation in levitated optomechanics.

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