Density matrix negativity for two oscillators in an Agarwal bath
A system of two harmonic oscillators is placed in an Agarwal bath. The resulting quantum master equations are studied with the help of quantum characteristic functions. The density matrix positivity is investigated in view of the recent interest in searching for a sound...
Saved in:
Main Authors: | , |
---|---|
Other Authors: | |
Format: | Article |
Language: | English |
Published: |
2011
|
Subjects: | |
Online Access: | https://hdl.handle.net/10356/92422 http://hdl.handle.net/10220/6746 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Nanyang Technological University |
Language: | English |
id |
sg-ntu-dr.10356-92422 |
---|---|
record_format |
dspace |
spelling |
sg-ntu-dr.10356-924222023-07-14T15:57:11Z Density matrix negativity for two oscillators in an Agarwal bath Zhao, Yang Chen, Guan Hua School of Materials Science & Engineering DRNTU::Science::Physics::Atomic physics::Quantum theory A system of two harmonic oscillators is placed in an Agarwal bath. The resulting quantum master equations are studied with the help of quantum characteristic functions. The density matrix positivity is investigated in view of the recent interest in searching for a sound quantum dissipation theory. An analytical criterion is derived for density matrix negativity for two uncoupled oscillators. It is found that, for an initial two-oscillator squeezed state with a real squeezing parameter s, density matrix negativity occurs for two uncoupled oscillators at temperatures lower than \v/(kB ln cothusu) with v the oscillator frequency and kB the Boltzmann factor. As a by-product an analytical expression is also obtained for determining the quantum separability of two uncoupled oscillators. The effects of interoscillator coupling on density matrix negativity are discussed. Published version 2011-03-07T06:10:21Z 2019-12-06T18:23:01Z 2011-03-07T06:10:21Z 2019-12-06T18:23:01Z 2002 2002 Journal Article Zhao, Y., & Chen, G. H. (2002). Density matrix negativity for two oscillators in an Agarwal bath. Physical Review E, (65), 1-15. https://hdl.handle.net/10356/92422 http://hdl.handle.net/10220/6746 10.1103/PhysRevE.65.056120 en Physical Review E © 2002 American Physical Society. This paper was published in Physical Review E and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at: [Doi: http://dx.doi.org/10.1103/PhysRevE.65.056120]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 15 p. application/pdf |
institution |
Nanyang Technological University |
building |
NTU Library |
continent |
Asia |
country |
Singapore Singapore |
content_provider |
NTU Library |
collection |
DR-NTU |
language |
English |
topic |
DRNTU::Science::Physics::Atomic physics::Quantum theory |
spellingShingle |
DRNTU::Science::Physics::Atomic physics::Quantum theory Zhao, Yang Chen, Guan Hua Density matrix negativity for two oscillators in an Agarwal bath |
description |
A system of two harmonic oscillators is placed in an Agarwal bath. The resulting quantum master equations
are studied with the help of quantum characteristic functions. The density matrix positivity is investigated in
view of the recent interest in searching for a sound quantum dissipation theory. An analytical criterion is
derived for density matrix negativity for two uncoupled oscillators. It is found that, for an initial two-oscillator
squeezed state with a real squeezing parameter s, density matrix negativity occurs for two uncoupled oscillators
at temperatures lower than \v/(kB ln cothusu) with v the oscillator frequency and kB the Boltzmann factor. As
a by-product an analytical expression is also obtained for determining the quantum separability of two uncoupled
oscillators. The effects of interoscillator coupling on density matrix negativity are discussed. |
author2 |
School of Materials Science & Engineering |
author_facet |
School of Materials Science & Engineering Zhao, Yang Chen, Guan Hua |
format |
Article |
author |
Zhao, Yang Chen, Guan Hua |
author_sort |
Zhao, Yang |
title |
Density matrix negativity for two oscillators in an Agarwal bath |
title_short |
Density matrix negativity for two oscillators in an Agarwal bath |
title_full |
Density matrix negativity for two oscillators in an Agarwal bath |
title_fullStr |
Density matrix negativity for two oscillators in an Agarwal bath |
title_full_unstemmed |
Density matrix negativity for two oscillators in an Agarwal bath |
title_sort |
density matrix negativity for two oscillators in an agarwal bath |
publishDate |
2011 |
url |
https://hdl.handle.net/10356/92422 http://hdl.handle.net/10220/6746 |
_version_ |
1773551331969073152 |