Entanglement trapping in structured environments

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

doi:10.1103/PhysRevA.78.060302

Entanglement trapping in structured environments

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

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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 language	English
Article number	060302
Number of pages	4
Journal	Physical Review A
Volume	78
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevA.78.060302
Publication status	Published - 12 Dec 2008

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title = "Entanglement trapping in structured environments",

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 Schr{\"o}dinger cat states in squeezed environments and environment-induced decoherence in quantum Brownian motion. ",

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AU - Compagno, Giuseppe

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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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Entanglement trapping in structured environments

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