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Cited by 502

The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.

Universal adiabatic dynamics in the vicinity of a quantum critical point

Open access
Polkovnikov, Anatoli·2005·Physical Review B

Abstract

We study temporal behavior of a quantum system under a slow external perturbation, which drives the system across a second-order quantum phase transition. It is shown that despite the conventional adiabaticity conditions are always violated near the critical point, the number of created excitations still goes to zero in the limit of infinitesimally slow variation of the tuning parameter. It scales with the adiabaticity parameter as a power related to the critical exponents $z$ and $\ensuremath{\nu}$ characterizing the phase transition. We support general arguments by direct calculations for the Boson Hubbard and the transverse field Ising models.

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Crossref · 10.1103/physrevb.72.161201

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Metadata

Authors
Polkovnikov, A.
Venue
Physical Review B
Published
2005-10-17
Volume
72
Issue
16
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
OpenAlex
W1586349125
Cited by
502
References
11
FWCI
6.97
Type
journal article
Language
en
Open access
green

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