Time-dependent local potential in a Tomonaga-Luttinger liquid

Naushad Ahmad Kamar and Thierry Giamarchi
Phys. Rev. A 96, 063620 – Published 26 December 2017

Abstract

We study the energy deposition in a one-dimensional interacting quantum system with a pointlike potential modulated in amplitude. The pointlike potential at position x=0 has a constant part and a small oscillation in time with a frequency ω. We use bosonization, renormalization group, and linear response theory to calculate the corresponding energy deposition. It exhibits a power law behavior as a function of the frequency that reflects the Tomonaga-Luttinger liquid (TLL) nature of the system. Depending on the interactions in the system, characterized by the TLL parameter K of the system, a crossover between weak and strong coupling for the backscattering due to the potential is possible. We compute the frequency scale ω*, at which such crossover exists. We find that the energy deposition due to the backscattering shows different exponents for K>1 and K<1. We discuss possible experimental consequences, in the context of cold atomic gases, of our theoretical results.

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  • Received 3 June 2017

DOI:https://doi.org/10.1103/PhysRevA.96.063620

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Condensed Matter, Materials & Applied PhysicsAtomic, Molecular & Optical

Authors & Affiliations

Naushad Ahmad Kamar and Thierry Giamarchi

  • DQMP, University of Geneva, 24 Quai Ernest-Ansermet, CH-1211 Geneva, Switzerland

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Issue

Vol. 96, Iss. 6 — December 2017

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