Light cone dynamics in excitonic states of two-component Bose and Fermi gases
| Autor: | Neil J. Robinson, Robert Konik, Jean-Sébastien Caux |
|---|---|
| Přispěvatelé: | IoP (FNWI), Quantum Condensed Matter Theory (ITFA, IoP, FNWI) |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Condensed Matter::Quantum Gases
Statistics and Probability Physics education.field_of_study Bose gas Condensed matter physics Exciton Population FOS: Physical sciences Statistical and Nonlinear Physics 01 natural sciences 010305 fluids & plasmas Superposition principle Quantum Gases (cond-mat.quant-gas) Light cone 0103 physical sciences Particle Statistics Probability and Uncertainty Condensed Matter - Quantum Gases 010306 general physics education Scaling Fermi Gamma-ray Space Telescope |
| Zdroj: | Journal of Statistical Mechanics: Theory and Experiment, 2020(1):013103. IOP Publishing Ltd. |
| ISSN: | 1742-5468 |
| DOI: | 10.1088/1742-5468/ab5706 |
| Popis: | We consider the non-equilibrium dynamics of two-component one dimensional quantum gases in the limit of extreme population imbalance where the minority species has but a single particle. We consider the situation where the gas is prepared in a state with a single spatially localized exciton: the single particle of the minority species is spatially localized while the density of the majority species in the vicinity of the minority particle sees a depression. Remarkably, we are able to consider cases where the gas contains on the order of $N=100$ particles, comparable to that studied in experiments on cold atomic gases. We are able to do by exploiting the integrability of the gas together with the observation that the excitonic state can be constructed through a simple superposition of exact eigenstates of the gas. The number of states in this superposition, rather than being exponentially large in the number of particles, scales linearly with $N$. We study the evolution of such spatially localized states in both strongly interacting Bose and Fermi gases. The behavior of the light cones when the interaction strength and density of the gas is varied can be understood from exact results for the spin excitation spectrum in these systems. We argue that the light cone in both cases exhibits scaling collapse. However unique to the Bose gas, we show that the presence of gapped finite-momentum roton-like excitations provide the Bose gas dynamics with secondary light cones. v1: 19 pages, 18 figures; v2: 37 pages, 18 figures, modified title, abstract, and structure of paper -- version accepted to J. Stat. Mech |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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