Quantum tight-binding chains with dissipative coupling

D. Mogilevtsev, G. Ya Slepyan, E. Garusov, S. Ya Kilin, N. Korolkova

Research output: Contribution to journalArticlepeer-review

Abstract

We present a one-dimensional tight-binding chain of two-level systems coupled only through common dissipative Markovian reservoirs. This quantum chain can demonstrate anomalous thermodynamic behavior contradicting Fourier law. Population dynamics of individual systems of the chain is polynomial with the order determined by the initial state of the chain. The chain can simulate classically hard problems, such as multi-dimensional random walks.

Original languageEnglish
Article number043065
JournalNew Journal of Physics
Volume17
DOIs
StatePublished - 1 Apr 2015

Keywords

  • dissipative coupling
  • non-exponential decay
  • random walk
  • spin chain

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