Emergent ballistic transport of Bose-Fermi mixtures in one dimension
arXiv:1910.06224 · doi:10.1088/1751-8121/abc128
Abstract
The degenerate Bose-Fermi (BF) mixtures in one dimension present a novel realization of two decoupled Luttinger liquids with bosonic and fermionic degrees of freedom at low temperatures. However, the transport properties of such decoupled Luttinger liquids of charges have not yet been studied. Here we apply generalized hydrodynamics to study the transport properties of one-dimensional (1D) BF mixtures with delta-function interactions. The initial state is set up as the semi-infinite halves of two 1D BF mixtures with different temperatures, joined together at the time and the junction point . Using the Bethe ansatz solution, we first rigorously prove the existence of conserved charges for both the bosonic and fermionic degrees of freedom, preserving the Euler-type continuity equations. We then analytically obtain the distributions of the densities and currents of the local conserved quantities which solely depend on the ratio . The left and right moving quasiparticle excitations of the two halves form multiple segmented light-cone hydrodynamics that display ballistic transport of the conserved charge densities and currents in different degrees of freedom. Our analytical results provide a deep understanding of the quantum transport of multi-component Luttinger liquids in quantum systems with both bosonic and fermionic statistics.
arXiv comment6+13 pages, 3 figures, a few new references were added
References in corpus (44)
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- Quantum many-body systems out of equilibrium
- Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
- Emergent hydrodynamics in integrable quantum systems out of equilibrium
- Fermi gases in one dimension: From Bethe Ansatz to experiments
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Complete Generalized Gibbs Ensemble in an interacting Theory
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- Generalized HydroDynamics on an Atom Chip
- Hydrodynamic Diffusion in Integrable Systems
- Hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
- Bethe-Boltzmann Hydrodynamics and Spin Transport in the XXZ Chain
- Soliton gases and generalized hydrodynamics
- Solvable Hydrodynamics of Quantum Integrable Systems
- Kinetic theory of spin diffusion and superdiffusion in XXZ spin chains
- Large-scale description of interacting one-dimensional Bose gases: generalized hydrodynamics supersedes conventional hydrodynamics
- Conformal field theory out of equilibrium: a review
- Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
- Analytic solution of the Domain Wall non-equilibrium stationary state
- Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
- A note on generalized hydrodynamics: inhomogeneous fields and other concepts
- Drude Weight for the Lieb-Liniger Bose Gas
- Higher-Order Hydrodynamics in 1D: a Promising Direction and a Null Result
- Entanglement evolution and generalised hydrodynamics: noninteracting systems
- Quench dynamics of the interacting Bose gas in one dimension
- Entanglement and quantum transport in integrable systems
- Exact large-scale correlations in integrable systems out of equilibrium
- Generalized hydrodynamics of classical integrable field theory: the sinh-Gordon model
- Entanglement evolution and generalised hydrodynamics: interacting integrable systems
- Exactly solvable case of a one-dimensional Bose-Fermi mixture
- Applications of exact solution for strongly interacting one dimensional bose-fermi mixture: low-temperature correlation functions, density profiles and collective modes
- Spin-charge separation effects in the low-temperature transport of 1D Fermi gases
- Energy transport in an integrable parafermionic chain via generalized hydrodynamics
- Universal broadening of the light cone in low-temperature transport
- Exact results for the 1D interacting mixed Bose-Fermi gas
- The spin Drude weight of the XXZ chain and generalized hydrodynamics
- Correlation functions of one-dimensional Bose-Fermi mixtures
- Many-Body Expansion Dynamics of a Bose-Fermi Mixture Confined in an Optical Lattice
- Low-Temperature Transport in Out-of-Equilibrium XXZ Chains
- Correlated quantum dynamics of two quenched fermionic impurities immersed in a Bose-Einstein Condensate
- Yang-Yang thermodynamics of Bose-Fermi Mixture
- Thermodynamics, spin-charge separation and correlation functions of spin-1/2 fermions with repulsive interaction
- Quantum criticality of a one-dimensional Bose-Fermi mixture
- Ground state properties of one-dimensional Bose-Fermi mixtures
Cited by in corpus (11)
- Superuniversality of superdiffusion
- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics
- Real-Time Evolution in the Hubbard Model with Infinite Repulsion
- Dynamical fermionization in a one-dimensional Bose-Fermi mixture
- Generalized-Hydrodynamic approach to Inhomogeneous Quenches: Correlations, Entanglement and Quantum Effects
- Generalized hydrodynamics of integrable quantum circuits
- Dynamical fermionization in one-dimensional spinor gases at finite temperature
- Probing Goldstino excitation through the tunneling transport in a Bose-Fermi mixture with explicitly broken supersymmetry
- Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
- Expansion of one-dimensional spinor gases from power-law traps