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Title: Quantum Brownian motion in a quasiperiodic potential

Journal Article · · Physical Review B
 [1];  [2];  [3];  [4]
  1. Univ. of Oxford (United Kingdom). Rudolf Peierls Centre for Theoretical Physics, Clarendon Lab.; Univ. of California, Irvine, CA (United States). Dept. of Physics and Astronomy
  2. Univ. of Massachusetts, Amherst, MA (United States)
  3. Univ. of Cambridge (United Kingdom). Cavendish Lab.
  4. Univ. of Oxford (United Kingdom). Rudolf Peierls Centre for Theoretical Physics, Clarendon Lab.
+ Show Author Affiliations

We consider a quantum particle subject to Ohmic dissipation, moving in a bichromatic quasiperiodic potential. In a periodic potential the particle undergoes a zero-temperature localization-delocalization transition as dissipation strength is decreased. We show that the delocalized phase is absent in the quasiperiodic case, even when the deviation from periodicity is infinitesimal. Using the renormalization group, we determine how the effective localization length depends on the dissipation. Finally, we show that a similar problem can emerge in the strong-coupling limit of a mobile impurity moving in a periodic lattice and immersed in a one-dimensional quantum gas.

Research Organization:
Univ. of Massachusetts, Amherst, MA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; Engineering and Physical Sciences Research Council (EPSRC)
Grant/Contract Number:
SC0019168; DGE-1321846; DMR-1455366; EP/P034616/1
OSTI ID:
1593356
Alternate ID(s):
OSTI ID: 1547990
Journal Information:
Physical Review B, Vol. 100, Issue 6; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

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  • De Roeck, Wojciech; Imbrie, John Z.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 375, Issue 2108 https://doi.org/10.1098/rsta.2016.0422
journal October 2017
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Figures / Tables (1)

FIG. 1(p. 3)figure FIG. 1

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