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Condensed Matter > Quantum Gases

Title:Quantum Brownian motion in a quasiperiodic potential

Abstract: 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. 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.
Comments: 5+6 pages, 1 figure
Subjects: Quantum Gases (cond-mat.quant-gas)
Journal reference: Phys. Rev. B 100, 060301 (2019)
DOI: 10.1103/PhysRevB.100.060301
Cite as: arXiv:1901.02939 [cond-mat.quant-gas]
  (or arXiv:1901.02939v1 [cond-mat.quant-gas] for this version)

Submission history

From: Aaron Friedman [view email]
[v1] Wed, 9 Jan 2019 21:45:47 UTC (353 KB)