Scientific article
Open access

Time-dependent local potential in a Tomonaga-Luttinger liquid

Published inPhysical Review. A, vol. 96, no. 6, 063620
Publication date2017

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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Citation (ISO format)
NAUSHAD, Naushad Ahmad, GIAMARCHI, Thierry. Time-dependent local potential in a Tomonaga-Luttinger liquid. In: Physical Review. A, 2017, vol. 96, n° 6, p. 063620. doi: 10.1103/PhysRevA.96.063620
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Article (Published version)
ISSN of the journal1050-2947

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