Enhanced correlations due to ballistic transport
arXiv:2409.17609 · doi:10.1209/0295-5075/ad99fa
Abstract
We investigate the nature of density-density correlations in a 1D gas of hard-core particles initially prepared at equilibrium (either at zero or finite temperature) on a semi-infinite line and subsequently let to expand into the other (initially empty) half of the system. Using a combination of analytical techniques based on exact methods and asymptotic hydrodynamic approaches, we discuss the behavior of the gas as its initial temperature varies, and back up our derivations with numerical exact diagonalization of the model. Our findings reveal that, irrespective of the initial temperature, the non-equilibrium behavior of density-density correlations at sufficiently large times is characterized by algebraic decay. Furthermore, we provide analytical results based on quantum generalized hydrodynamics that match with the numerical data both at zero and finite temperature.
7pages, 7figures; v2: minor changes
References in corpus (24)
- Thermalization and its mechanism for generic isolated quantum systems
- Transport in the XX chain at zero temperature: Emergence of flat magnetization profiles
- Analytic solution of the Domain Wall non-equilibrium stationary state
- Quantum Generalized Hydrodynamics
- Fermionization in an expanding 1D gas of hard-core bosons
- Higher-Order Hydrodynamics in 1D: a Promising Direction and a Null Result
- Entanglement evolution and generalised hydrodynamics: noninteracting systems
- Emergence of quasi-condensates of hard-core bosons at finite momentum
- Non-equilibrium steady states in the Klein-Gordon theory
- Area law violation for the mutual information in a nonequilibrium steady state
- Ballistic macroscopic fluctuation theory
- Locally quasi-stationary states in noninteracting spin chains
- The Inhomogeneous Gaussian Free Field, with application to ground state correlations of trapped 1d Bose gases
- One-particle density matrix of trapped one-dimensional impenetrable bosons from conformal invariance
- Long range order in non-equilibrium interacting quantum spin chains
- Edge singularities and quasi-long-range order in non-equilibrium steady states
- What is a quantum shock wave?
- Exact entanglement growth of a one-dimensional hard-core quantum gas during a free expansion
- Exact hydrodynamic solution of a double domain wall melting in the spin-1/2 XXZ model
- Domain wall melting across a defect
- One-particle density matrix of a trapped Lieb-Liniger anyonic gas
- Probing the local rapidity distribution of a 1D Bose gas
- Scaling of fronts and entanglement spreading during a domain wall melting
- One-particle density matrix and momentum distribution of the out-of-equilibrium 1D Tonks-Girardeau gas: Analytical results at large