Entanglement trapping in structured environments

Bruno Bellomo, Rosario Lo Franco, Sabrina Maniscalco, Giuseppe Compagno

Research output: Contribution to journalArticle

Abstract

We derive and solve analytically the non-Markovian master equation for harmonic quantum Brownian motion proving that, for weak system-reservoir couplings and high temperatures, it can be recast in the form of the master equation for a harmonic oscillator interacting with a squeezed thermal bath. This equivalence guarantees preservation of positivity of the density operator during the time evolution and allows one to establish a connection between the dynamics of Schrödinger cat states in squeezed environments and environment-induced decoherence in quantum Brownian motion.
Original languageEnglish
Article number060302
Number of pages4
JournalPhysical Review A
Volume78
Issue number6
DOIs
Publication statusPublished - 12 Dec 2008

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trapping
cats
harmonic oscillators
equivalence
baths
harmonics
operators
temperature

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Bellomo, B., Lo Franco, R., Maniscalco, S., & Compagno, G. (2008). Entanglement trapping in structured environments. Physical Review A, 78(6), [060302]. https://doi.org/10.1103/PhysRevA.78.060302
Bellomo, Bruno ; Lo Franco, Rosario ; Maniscalco, Sabrina ; Compagno, Giuseppe. / Entanglement trapping in structured environments. In: Physical Review A. 2008 ; Vol. 78, No. 6.
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Bellomo, B, Lo Franco, R, Maniscalco, S & Compagno, G 2008, 'Entanglement trapping in structured environments', Physical Review A, vol. 78, no. 6, 060302. https://doi.org/10.1103/PhysRevA.78.060302

Entanglement trapping in structured environments. / Bellomo, Bruno; Lo Franco, Rosario; Maniscalco, Sabrina; Compagno, Giuseppe.

In: Physical Review A, Vol. 78, No. 6, 060302, 12.12.2008.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Entanglement trapping in structured environments

AU - Bellomo, Bruno

AU - Lo Franco, Rosario

AU - Maniscalco, Sabrina

AU - Compagno, Giuseppe

PY - 2008/12/12

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N2 - We derive and solve analytically the non-Markovian master equation for harmonic quantum Brownian motion proving that, for weak system-reservoir couplings and high temperatures, it can be recast in the form of the master equation for a harmonic oscillator interacting with a squeezed thermal bath. This equivalence guarantees preservation of positivity of the density operator during the time evolution and allows one to establish a connection between the dynamics of Schrödinger cat states in squeezed environments and environment-induced decoherence in quantum Brownian motion.

AB - We derive and solve analytically the non-Markovian master equation for harmonic quantum Brownian motion proving that, for weak system-reservoir couplings and high temperatures, it can be recast in the form of the master equation for a harmonic oscillator interacting with a squeezed thermal bath. This equivalence guarantees preservation of positivity of the density operator during the time evolution and allows one to establish a connection between the dynamics of Schrödinger cat states in squeezed environments and environment-induced decoherence in quantum Brownian motion.

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DO - 10.1103/PhysRevA.78.060302

M3 - Article

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JF - Physical Review A

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M1 - 060302

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Bellomo B, Lo Franco R, Maniscalco S, Compagno G. Entanglement trapping in structured environments. Physical Review A. 2008 Dec 12;78(6). 060302. https://doi.org/10.1103/PhysRevA.78.060302