Quantum Markovian Approximations for Fermionic Reservoirs

John E. Gough; Adrei Sobolev

doi:10.1142/S0219025705002062

Quantum Markovian Approximations for Fermionic Reservoirs

John E. Gough, Adrei Sobolev

Department of Physics

Research output: Contribution to journal › Article › peer-review

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Abstract

We establish a quantum functional central limit for the dynamics of a system coupled to a Fermionic bath with a general interaction linear in the creation, annihilation and scattering of the bath reservoir. Following a quantum Markovian limit, we realize the open dynamical evolution of the system as an adapted quantum stochastic process driven by Fermionic Noise.

Original language	English
Pages (from-to)	453-471
Number of pages	19
Journal	Infinite Dimensional Analysis, Quantum Probability and Related Topics
Volume	8
Issue number	3
DOIs	https://doi.org/10.1142/S0219025705002062
Publication status	Published - Sept 2005

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title = "Quantum Markovian Approximations for Fermionic Reservoirs",

abstract = "We establish a quantum functional central limit for the dynamics of a system coupled to a Fermionic bath with a general interaction linear in the creation, annihilation and scattering of the bath reservoir. Following a quantum Markovian limit, we realize the open dynamical evolution of the system as an adapted quantum stochastic process driven by Fermionic Noise.",

author = "Gough, {John E.} and Adrei Sobolev",

note = "Infinite Dimensional Analysis, Quantum Probability and Related Topics (IDAQP) Volume: 8, Issue: 3 (2005) pp. 453-471 DOI: 10.1142/S0219025705002062",

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AB - We establish a quantum functional central limit for the dynamics of a system coupled to a Fermionic bath with a general interaction linear in the creation, annihilation and scattering of the bath reservoir. Following a quantum Markovian limit, we realize the open dynamical evolution of the system as an adapted quantum stochastic process driven by Fermionic Noise.

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DO - 10.1142/S0219025705002062

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Quantum Markovian Approximations for Fermionic Reservoirs

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