2017/06/06 by Naushad Ahmad Kamar, Thierry Giamarchi · 1 citation
Mathematics · Physics and Astronomy · #Amplitude #Bosonization #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Constant (computer programming) #Context (archaeology) #Crossover #Energy (signal processing) #Function (biology) #Luttinger liquid #Mathematics #Omega #Oscillation (cell signaling) #Physics #Power law #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Quantum, superfluid, helium dynamics #Renormalization #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.96.063620
published in Physical Review A 96(6) (American Physical Society) · 13 pages, 3 figures
arxiv created 2017/06/06 · openalex publication_date 2017/12/26 · arxiv updated 2018/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 \ensuremathω. 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 \ensuremathω*, 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.