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

Chinese Physics Letters

Evolution of a Thermo Vacuum State in a Single-Mode Amplitude Dissipative Channel

Changchun Wang, Fan Hong‐Yi

Published Nov 1, 2010• 4 citations
Publisher

Abstract

We investigate how an initial thermo vacuum state, in the context of thermo field dynamics, evolves in a single-mode amplitude dissipative channel, and find that in this process the thermo squeezing effect decreases while the fictitious-mode vacuum becomes chaotic.
DOI
10.1088/0256-307x/27/11/110302

Related papers

Evolution of l-photon excited thermo vacuum state in a single-mode damping channel

Rui He, Hong-Yi Fan

In this paper, we investigate how a kind of non-Gaussian states (l-photon excited thermo vacuum state [Formula: see text]) evolves in a single-mode damping channel. We find that it evolves into a Laguerre-polynomial-weighted real–fictitious squeezed thermo vacuum state, which exhibits strong decoherence and its original nonclassicality fades. In particular, when l = 0, in this damping process the thermo squeezing effect decreases while the fictitious-mode vacuum becomes chaotic. In overcoming the difficulty of calculation, we employ the summation method within ordered product of operators, a new generating function formula about two-variable Hermite polynomials is derived.

International Journal of Modern Physics B•Jan 19, 2016•0 citations

Dissipation of a two-mode squeezed vacuum state in the single-mode amplitude damping channel

Nanrun Zhou, Liyun Hu, Hong-Yi Fan

We explore how a two-mode squeezed vacuum state sechθe a † b † tanhθ |00〉 evolves when it undergoes a single-mode amplitude dissipative channel with rate of decay κ. We find that in this process not only the squeezing parameter decreases, tanhθ → e −κt tanhθ, but also the second-mode vacuum state evolves into a chaotic state exp{ b † b ln[(1 − e −2κt )tanh 2 θ]}. The outcome state is no more a pure state, but an entangled mixed state.

Chinese Physics B•Dec 1, 2011•11 citations

Evolution of a two-mode squeezed vacuum in the amplitude dissipative channel

Nian-Quan Jiang, 范洪义, 席留生 +2 more

For the first time we derive the dissipating result of an initial two-mode squeezed pure vacuum state passing through a two-mode amplitude dissipative channel described by the direct product of two independent single-mode master equations. Although these two master equations do not mix the two modes (there is no coupling between them), since the two-mode squeezed state is simultaneously an entangled state, the final state which emerges from passing this channel is a two-mode mixed density operator. The compact expression of the outcoming state is obtained, which manifestly shows that as time evolves, the squeezing effect decreases.

Chinese Physics B•Dec 1, 2011•2 citations

Evolution of a Thermo Vacuum State in a Single-Mode Amplitude Dissipative Channel

王长春, 范洪义

Chinese Physics Letters•Jan 1, 2010•0 citations

Evolution of the single-mode squeezed vacuum state in amplitude dissipative channel

Hong-Yi, Fan Fan,  Shuai +3 more

物理学前沿：英文版•Jan 1, 2014•0 citations

Evolution of a two-mode squeezed vacuum for amplitude decay via continuous-variable entangled state approach

Xiang‐Gao Meng, Ji‐Suo Wang, Bao‐Long Liang +1 more

Extending the recent work completed by Fan et al. [ Front. Phys. 9(1), 74 (2014)] to a two-mode case, we investigate how a two-mode squeezed vacuum evolves when it undergoes a two-mode amplitude dissipative channel, with the same decay rate κ, using the continuous-variable entangled state approach. Our analytical results show that the initial pure-squeezed vacuum state evolves into a definite mixed state with entanglement and squeezing, decaying over time as a result of amplitude decay. We also investigate the time evolutions of the photon number distribution, the Wigner function, and the optical tomogram in this channel. Our results indicate that the evolved photon number distribution is related to Jacobi polynomials, the Wigner function has a standard Gaussian distribution (corresponding to the vacuum) at long periods, losing its nonclassicality due to amplitude decay, and a larger squeezing leads to a longer decay time.

Frontiers of Physics•Sep 29, 2018•46 citations
In this paper, we investigate how a kind of non-Gaussian states (l-photon excited thermo vacuum state [Formula: see text]) evolves in a single-mode damping channel. We find that it evolves into a Laguerre-polynomial-weighted real–fictitious squeezed thermo vacuum state, which exhibits strong decoherence and its original nonclassicality fades. In particular, when l = 0, in this damping process the thermo squeezing effect decreases while the fictitious-mode vacuum becomes chaotic. In overcoming the difficulty of calculation, we employ the summation method within ordered product of operators, a new generating function formula about two-variable Hermite polynomials is derived.
For the first time we derive the dissipating result of an initial two-mode squeezed pure vacuum state passing through a two-mode amplitude dissipative channel described by the direct product of two independent single-mode master equations. Although these two master equations do not mix the two modes (there is no coupling between them), since the two-mode squeezed state is simultaneously an entangled state, the final state which emerges from passing this channel is a two-mode mixed density operator. The compact expression of the outcoming state is obtained, which manifestly shows that as time evolves, the squeezing effect decreases.
Extending the recent work completed by Fan et al. [ Front. Phys. 9(1), 74 (2014)] to a two-mode case, we investigate how a two-mode squeezed vacuum evolves when it undergoes a two-mode amplitude dissipative channel, with the same decay rate κ, using the continuous-variable entangled state approach. Our analytical results show that the initial pure-squeezed vacuum state evolves into a definite mixed state with entanglement and squeezing, decaying over time as a result of amplitude decay. We also investigate the time evolutions of the photon number distribution, the Wigner function, and the optical tomogram in this channel. Our results indicate that the evolved photon number distribution is related to Jacobi polynomials, the Wigner function has a standard Gaussian distribution (corresponding to the vacuum) at long periods, losing its nonclassicality due to amplitude decay, and a larger squeezing leads to a longer decay time.