Kubo-Martin-Schwinger relation for an interacting mobile impurity
arXiv:2308.06482 · doi:10.1103/PhysRevResearch.5.043265
Abstract
In this work we study the Kubo-Martin-Schwinger (KMS) relation in the Yang-Gaudin model of an interacting mobile impurity. We use the integrability of the model to compute the dynamic injection and ejection Green's functions at finite temperatures. We show that due to separability of the Hilbert space with an impurity, the ejection Green's in a canonical ensemble cannot be reduced to a single expectation value as per microcanonical picture. Instead, it involves a thermal average over contributions from different subspaces of the Hilbert space which, due to the integrability, are resolved using the so-called spin rapidity. It is then natural to consider the injection and ejection Green's functions within each subspace. By means of reformulating the original KMS condition as a Riemann-Hilbert problem, we analytically demonstrate that such Green's functions obey a refined analogous relation, which is finally corroborated by numerical evaluation.
arXiv comment20 pages, 3 figures
References in corpus (50)
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Quantum thermalization through entanglement in an isolated many-body system
- Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
- Eigenstate Thermalization Hypothesis
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Quantum dynamics of a single, mobile spin impurity
- Metastability and Coherence of Repulsive Polarons in a Strongly Interacting Fermi Mixture
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- Generalized Thermalization in an Integrable Lattice System
- Quantum dynamics of impurities in a 1D Bose gas
- Ultrafast many-body interferometry of impurities coupled to a Fermi sea
- Ergodic dynamics and thermalization in an isolated quantum system
- On the Numerical Evaluation of Fredholm Determinants
- Integrability and ideal conductance at finite temperatures
- Quantum transport through a Tonks-Girardeau gas
- Quantum dynamics of ultracold Bose polarons
- Quasiparticle properties of a mobile impurity in a Bose-Einstein condensate
- Bloch oscillations in the absence of a lattice
- Spin dynamics in a one-dimensional ferromagnetic Bose gas
- Boiling a Unitary Fermi Liquid
- Decoherence of Impurities in a Fermi Sea of Ultracold Atoms
- Bose polarons in ultracold atoms in one dimension: beyond the Fröhlich paradigm
- Dynamics and Bloch oscillations of mobile impurities in one-dimensional quantum liquids
- Bloch oscillations in one-dimensional spinor gas
- Exact calculation of spectral properties of a particle interacting with a one dimensional fermionic system
- Momentum relaxation of a mobile impurity in a one-dimensional quantum gas
- Critical velocity of a mobile impurity in one-dimensional quantum liquids
- Kinetic theory for a mobile impurity in a degenerate Tonks-Girardeau gas
- The impact of the injection protocol on an impurity's stationary state
- Thermal out-of-time-order correlators, KMS relations, and spectral functions
- Impurity Green's function of a one-dimensional Fermi-gas
- Exact correlations in the Lieb-Liniger model and detailed balance out-of-equilibrium
- Dynamics of an impurity in a one-dimensional lattice
- Dispersion relation and spectral function of an impurity in a one-dimensional quantum liquid
- Theory of radio-frequency spectroscopy of impurities in quantum gases
- Test of Eigenstate Thermalization Hypothesis Based on Local Random Matrix Theory
- Competing regimes of motion in 1D mobile impurities
- Dynamical properties of the one-dimensional spin-1/2 Bose-Hubbard model near Mott-insulator to ferromagnetic liquid transition
- An all-coupling theory for the Fröhlich polaron
- Quantum Boltzmann equation for a mobile impurity in a degenerate Tonks-Girardeau gas
- Time and temperature-dependent correlation function of an impurity in a one-dimensional Fermi gas as a Fredholm determinant
- Probing non-thermal density fluctuations in the one-dimensional Bose gas
- On the origins of Riemann-Hilbert problems in mathematics
- Zero temperature momentum distribution of an impurity in a polaron state of one-dimensional Fermi and Tonks-Girardeau gases
- Large time and long distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas
- Radio-frequency response and contact of impurities in a quantum gas
- Effective free-fermionic form factors and the XY spin chain
- On the Dynamics of Free-Fermionic Tau-Functions at Finite Temperature
- From hardcore Bosons to free Fermions with Painlev{é} V