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Dynamics of a quantum phase transition and relaxation to a steady state

Open access
Dziarmaga, Jacek·2010·Advances in Physics

Abstract

We review recent theoretical work on two closely related issues: excitation of an isolated quantum condensed matter system driven adiabatically across a continuous quantum phase transition or a gapless phase, and apparent relaxation of an excited system after a sudden quench of a parameter in its Hamiltonian. Accordingly, the review is divided into two parts. The first part revolves around a quantum version of the Kibble–Zurek mechanism including also phenomena that go beyond this simple paradigm. What they have in common is that excitation of a gapless many-body system scales with a power of the driving rate. The second part attempts a systematic presentation of recent results and conjectures on apparent relaxation of a pure state of an isolated quantum many-body system after its excitation by a sudden quench. This research is motivated in part by recent experimental developments in the physics of ultracold atoms with potential applications in the adiabatic quantum state preparation and quantum computation.

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Cites

Show all 191 references

Research works printed but not linked: 21

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Metadata

Authors
Dziarmaga, J.
Venue
Advances in Physics
Published
2010-09-22
Volume
59
Issue
6
Pages
1063-1189
ISSN
  • 0001-8732 (ISSN-L)
  • 1460-6976
OpenAlex
W1984210356
Cited by
717
References
191
FWCI
23.10
Type
journal article
Language
en
Open access
green

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Dziarmaga, J. (2010). Dynamics of a quantum phase transition and relaxation to a steady state. Advances in Physics. https://doi.org/10.1080/00018732.2010.514702

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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