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Open Quantum Systems

Part of the SpringerBriefs in Physics Book Series

DOI: 10.1007/978-3-642-23354-8

ISBN: 978-3-642-23353-1

Publisher: Springer Berlin Heidelberg - Springer Journals

Sep 30, 2011

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Chapter 1Mathematical Tools

Rivas, Angel; Huelga, Susana F.

Pages: 1 –14

[In different parts within this work, we will make use of properties of Banach spaces. For our interest it is sufficient to restrict our analysis to finite dimensional spaces. In what follows we revise some basic concepts.]
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Chapter 2Time Evolution in Closed Quantum Systems

Rivas, Angel; Huelga, Susana F.

Pages: 15 –17

[Probably time evolution of physical systems is the main factor in order to understand their nature and properties. In classical systems time evolution is usually formulated in terms of differential equations (i.e. Euler–Lagrange’s equations, Hamilton’s equations, Liouville equation, etc.), which...
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Chapter 3Time Evolution in Open Quantum Systems

Rivas, Angel; Huelga, Susana F.

Pages: 19 –31

[Consider now the case where the total Hilbert space can be decomposed into two parts.]
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Chapter 4Quantum Markov Process: Mathematical Structure

Rivas, Angel; Huelga, Susana F.

Pages: 33 –48

[Before studying under which conditions can an open quantum system be approximately described by a Markovian evolution, we examine in this chapter the structure and properties of quantum Markovian process.]
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Chapter 5Microscopic Description: Markovian Case

Rivas, Àngel; Huelga, Susana F.

Pages: 49 –80

[As we have already pointed out, the dynamics of an open quantum system is notably different from that of a closed system; both from practical and fundamental points of view. Issues so fundamental as the existence of universally valid dynamics or the continuity in time of these, become...
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Chapter 6Microscopic Description: Non-Markovian Case

Rivas, Angel; Huelga, Susana F.

Pages: 81 –88

[The microscopic description of non-Markovian dynamics is much more involved than the Markovian one, and developing efficient methods to deal with it is actually an active area of research nowadays.]

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