Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/9905073 · Journal of Physics A Mathematical and General

Thermalized displaced squeezed thermal states

Wen-Fa Lu

Published Jan 7, 2000• 2 citations
arXivHTMLPDF

Abstract

In the coordinate representation of thermofield dynamics, we investigate the thermalized displaced squeezed thermal state which involves two temperatures successively. We give the wavefunction and the matrix element of the density operator at any time, and accordingly calculate some quantities related to the position and particle number operator, special cases of which are consistent with the results in the literature. The two temperatures have different correlations with the squeezing and coherence components. Moreover, different from the properties of the position, the average value and variance of the particle number operator as well as the second-order correlation function are time independent.

DOI
10.1088/0305-4470/33/3/304

Related papers

Thermalized Displaced Squeezed Thermal States

Lu, W F

In the coordinate representation of thermofield dynamics, we investigate the thermalized displaced squeezed thermal state which involves two temperatures successively. We give the wavefunction and the matrix element of the density operator at any time, and accordingly calculate some quantities related to the position, momentum and particle number operator, special cases of which are consistent with the results in the literature. The two temperatures have diffenent correlations with the squeeze and coherence components. Moreover, different from the properties of the position and momentum, the average value and variance of the particle number operator as well as the second-order correlation function are time-independent.

•Jan 1, 2000•1 citation

Thermalized displaced and squeezed number states in the coordinate representation

W-F Lu

Within the framework of thermofield dynamics, the wavefunctions of the thermalized displaced number and squeezed number states are given in the coordinate representation. Furthermore, the time evolution of these wavefunctions is considered by introducing a thermal coordinate representation, and we also calculate the corresponding probability densities, average values and variances of position coordinate, which are consistent with results in the literature.

arXiv:quant-ph/9809044•Journal of Physics A Mathematical and General•Jan 1, 1999•7 citations

A General Type of a Coherent States with Thermal Effects

Wen-Fa Lu

Within the framework of thermofield dynamics, we construct a thermalized coherent thermal state, which is a general type of the coherent state with the thermal effects and can be presumably produced experimentally. The wavefunction and the density matrix element in the coordinate repersentation are calculated, and furthermore we give the probability densities, average values and variances of the position, momentum and particle number, which in special cases are consistent with those in the literature. All calculations are performed in the coordinate representation.

arXiv:quant-ph/9903084•Mar 26, 1999•0 citations

Coordinate-representation Calculation on Observables of Thermalized Coherent States

Wen-Fa Lu

The coordinate representation, a usual one in quantum mechanics, is seldom adopted for calculations of non-classical states with thermal noises. In this paper, we provide a coordinate-representation calculation for the thermalized coherent state. Within the framework of thermofield dynamics, the density matrix element in the coordinate repersentation is calculated with the help of the position wavefunctions. Furthermore, we give the position and momentum probability densities. Besides, we also calculate the average values and variances of the position, momentum and particle number, which are consistent with results obtained by other methods.

•Mar 26, 1999•0 citations

Thermal Vacuum, Coherent and Squeezed States in Coordinate Representation

Wen-Fa Lu

Within the framework of thermofield dynamics, the wavefunction of the thermal vacuum is given in terms of the position coordinates, and a thermal coordinate representation is introduced through the thermal unitary transformation. Exploting the representation, we obtain position-coordinate wavefunctions of thermal coherent and squeezed states. In the thermal coordinate representation, these wavefunctions are correspondingly the same forms as vacuum, coherent and squeezed states in the coordinate representation.

•Sep 16, 1998•0 citations

SECOND-ORDER CORRELATION FUNCTION FOR SUCCESSIVE SQUEEZED STATES

Vasile A. Popescu

By successive application of the squeeze operator, we obtain different quantum statistical properties for the squeezed number, the squeezed thermal, the squeezed coherent and the displaced squeezed thermal states. We compare our enhanced squeezing method with other procedures for superposition of two squeezed coherent states.

Modern Physics Letters B•Dec 30, 1999•4 citations
In the coordinate representation of thermofield dynamics, we investigate the thermalized displaced squeezed thermal state which involves two temperatures successively. We give the wavefunction and the matrix element of the density operator at any time, and accordingly calculate some quantities related to the position and particle number operator, special cases of which are consistent with the results in the literature. The two temperatures have different correlations with the squeezing and coherence components. Moreover, different from the properties of the position, the average value and variance of the particle number operator as well as the second-order correlation function are time independent.
In the coordinate representation of thermofield dynamics, we investigate the thermalized displaced squeezed thermal state which involves two temperatures successively. We give the wavefunction and the matrix element of the density operator at any time, and accordingly calculate some quantities related to the position, momentum and particle number operator, special cases of which are consistent with the results in the literature. The two temperatures have diffenent correlations with the squeeze and coherence components. Moreover, different from the properties of the position and momentum, the average value and variance of the particle number operator as well as the second-order correlation function are time-independent.
Within the framework of thermofield dynamics, we construct a thermalized coherent thermal state, which is a general type of the coherent state with the thermal effects and can be presumably produced experimentally. The wavefunction and the density matrix element in the coordinate repersentation are calculated, and furthermore we give the probability densities, average values and variances of the position, momentum and particle number, which in special cases are consistent with those in the literature. All calculations are performed in the coordinate representation.
The coordinate representation, a usual one in quantum mechanics, is seldom adopted for calculations of non-classical states with thermal noises. In this paper, we provide a coordinate-representation calculation for the thermalized coherent state. Within the framework of thermofield dynamics, the density matrix element in the coordinate repersentation is calculated with the help of the position wavefunctions. Furthermore, we give the position and momentum probability densities. Besides, we also calculate the average values and variances of the position, momentum and particle number, which are consistent with results obtained by other methods.
Within the framework of thermofield dynamics, the wavefunction of the thermal vacuum is given in terms of the position coordinates, and a thermal coordinate representation is introduced through the thermal unitary transformation. Exploting the representation, we obtain position-coordinate wavefunctions of thermal coherent and squeezed states. In the thermal coordinate representation, these wavefunctions are correspondingly the same forms as vacuum, coherent and squeezed states in the coordinate representation.