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

Communications in Theoretical Physics

Nonzero Temperature Squeezing of the Time-Dependent Harmonic Oscillator and the Applications to the Capacitive Coupled Electric Circuit

Mai-Lin Liang, Yuan Bing

Published May 15, 2002• 5 citations
Publisher

Abstract

A new way to calculate the nonzero temperature quantum fluctuations of the time-dependent harmonic oscillator is proposed and the properties of squeezing are exactly given. The method is applied to the capacitive coupled electric circuit. It is explicitly shown that squeezing can appear and the squeezing parameters are related to the physical quantities of the coupled circuit.

DOI
10.1088/0253-6102/37/5/519

Related papers

Nonzero Temperature Squeezing of the Time—Dependent Harmonic Oscillator and the Applications to the Capacitive Coupled Electric Circuit

LIANGMai-Lin, YUANBing

A new way to calculate the nonzero temperature quantum fluctuations of the time-dependent harmonicoscillator is proposed and the properties of squeezing are exactly given. The method is applied to the capacitive coupledelectric circuit. It is explicitly shown that squeezing can appear and the squeezing parameters are related to the physicalquantities of the coupled circuit.

理论物理通讯：英文版•Jan 1, 2002•0 citations

Non—Zero Temperature Evolution of the Quantum Fluctuations in Time—Dependent Inductive—Capacitive Coupled Circuit

梁麦林, 袁兵

For time-dependent inductive-capacitive coupled circuits,the quantum fluctuations in the component circuits and the coupling part are computed.Generation of squeezing and the different effects of inductance and capacitance couplings on the quantum fluctuations are rigorously given,Meanwhile,the thermal effects are included.

Journal of Shanghai University (English Edition)•Jan 1, 2002•0 citations

Nonzero-temperature coherent and squeezed states for the harmonic oscillator: The time-dependent frequency case

J. Aliaga, G. Crespo, Araceli N. Proto

We present a density-matrix method, based on information theory, which makes it possible to find nonzero-temperature coherent and squeezed states for the harmonic oscillator with time-dependent frequency. We establish a connection between the appearance of squeezed states and the relevant operators included in the density matrix, compare our results with previous ones that were obtained using wave functions, and analyze the particular case of a sudden jump in the oscillator's frequency.

Physical Review A•Jul 1, 1990•35 citations

Non-Zero Temperature Evolution of the Quantum Fluctuations in Time-Dependent Inductive-Capacitive Coupled Circuit

Liang Mai

For time dependent inductive capacitive coupled circuits, the quantum fluctuations in the component circuits and the coupling part are computed. Generation of squeezing and the different effects of inductance and capacitance couplings on the quantum fluctuations are rigorously given. Meanwhile, the thermal effects are included.

Journal of Shanghai University (English Edition)•Jan 1, 2002•0 citations

Quantum fluctuations in capacitive coupled electric circuits at finite temperature

Bing Yuan

Using the thermal field dynamics, the quantum fluctuations in the capacitive coupled electric circuits at finite temperature are calculated. At zero temperature, the eigenstates of the capacitive coupled electric circuit are the displaced Fock states. At finite temperature, the states become the thermal displaced Foek states. The results show that, in the coupling part of the circuit, which is not studied in former discussions, capacitance coupling reduces the quantum fluctuation of the electric charge and increase that of the electric current.

Ha'erbin gongye daxue xuebao•Jan 1, 2002•0 citations

Temperature changes and squeezing properties of the system of time-dependent harmonic oscillators

Jeong‐Young Ji, Jae Kwan Kim

The density operator is defined as a function of a generalized invariant for the system of time-dependent harmonic oscillators. Applying this to the Hamiltonian with two asymptotic regions, we calculate the temperature change driven by a time-varying Hamiltonian. Furthermore, the squeezing properties of an eigenstate and a coherent state of the initial Hamiltonian are discussed. \textcopyright{} 1996 The American Physical Society.

Physical Review A•Feb 1, 1996•20 citations
A new way to calculate the nonzero temperature quantum fluctuations of the time-dependent harmonic oscillator is proposed and the properties of squeezing are exactly given. The method is applied to the capacitive coupled electric circuit. It is explicitly shown that squeezing can appear and the squeezing parameters are related to the physical quantities of the coupled circuit.
Using the thermal field dynamics, the quantum fluctuations in the capacitive coupled electric circuits at finite temperature are calculated. At zero temperature, the eigenstates of the capacitive coupled electric circuit are the displaced Fock states. At finite temperature, the states become the thermal displaced Foek states. The results show that, in the coupling part of the circuit, which is not studied in former discussions, capacitance coupling reduces the quantum fluctuation of the electric charge and increase that of the electric current.