Work

Quantum Brownian motion in a quasiperiodic potential

Year: 2019

Type: article

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.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.100.060301

Authors: Aaron J. Friedman, Romain Vasseur, Austen Lamacraft, S. A. Parameswaran

Institutions: University of California, Irvine, University of Oxford, University of Massachusetts Amherst, University of Cambridge

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green