Transport in out-of-equilibrium XXZ chains: Nonballistic behavior and correlation functions
@article{Piroli2017TransportIO, title={Transport in out-of-equilibrium XXZ chains: Nonballistic behavior and correlation functions}, author={Lorenzo Piroli and Jacopo de Nardis and Mario Collura and Bruno Bertini and Maurizio Fagotti}, journal={Physical Review B}, year={2017}, volume={96}, pages={115124} }
We consider the nonequilibrium protocol where two semi-infinite gapped XXZ chains, initially prepared in different equilibrium states, are suddenly joint together. At large times, a generalized hydrodynamic description applies, according to which the system can locally be represented by space- and time- dependent stationary states. The magnetization displays an unusual behavior: depending on the initial state, its profile may exhibit abrupt jumps that can not be predicted directly from the…
95 Citations
Analytic solution of the domain-wall nonequilibrium stationary state
- Physics
- 2018
We consider the out-of-equilibrium dynamics generated by joining two domains with arbitrary opposite magnetizations. We study the stationary state which emerges by the unitary evolution via the…
Low-Temperature Transport in Out-of-Equilibrium XXZ Chains
- Mathematics
- 2017
We study the low-temperature transport properties of out-of-equilibrium XXZ spin-$1/2$ chains. We consider the protocol where two semi-infinite chains are prepared in two thermal states at small but…
Domain wall melting in spin-1 XXZ chains
- PhysicsPhysical Review B
- 2020
In this letter we study the non-equilibrium spin dynamics in the non-integrable spin-1 XXZ chain, emerging after joining two macroscopic pure states with different magnetizations. Employing the…
Dynamics of large deviations in the hydrodynamic limit: Noninteracting systems.
- PhysicsPhysical review. E
- 2020
We study the dynamics of the statistics of the energy transferred across a point along a quantum chain which is prepared in the inhomogeneous initial state obtained by joining two identical…
Generalized hydrodynamics with dephasing noise
- Physics
- 2020
We consider the out-of-equilibrium dynamics of an interacting integrable system in the presence of an external dephasing noise. In the limit of large spatial correlation of the noise, we develop an…
Fluctuations in Ballistic Transport from Euler Hydrodynamics
- Physics
- 2019
We propose a general formalism, within large-deviation theory, giving access to the exact statistics of fluctuations of ballistically transported conserved quantities in homogeneous, stationary…
Spin-charge separation effects in the low-temperature transport of one-dimensional Fermi gases
- PhysicsPhysical Review B
- 2019
We study the transport properties of a one-dimensional spinful Fermi gas, after a junction of two semi-infinite subsystems held at different temperatures. The ensuing dynamics is studied by analyzing…
Transport fluctuations in integrable models out of equilibrium
- PhysicsSciPost Physics
- 2020
We propose exact results for the full counting statistics, or the scaled cumulant generating function, pertaining to the transfer of arbitrary conserved quantities across an interface in homogeneous…
Domain wall problem in the quantum XXZ chain and semiclassical behavior close to the isotropic point
- PhysicsSciPost Physics
- 2019
We study the dynamics of a spin-\frac{1}{2}12
XXZ chain which is initially prepared in a domain-wall state. We compare
the results of time-dependent Density Matrix Renormalization Group
simulations…
Integrability-Protected Adiabatic Reversibility in Quantum Spin Chains.
- PhysicsPhysical review letters
- 2019
The integrability of the model for any flux values is exploited to derive an exact description of the dynamics in the limit of slowly varying flux: the state of the system is described at any time by a time-dependent generalized Gibbs ensemble.
References
SHOWING 1-10 OF 100 REFERENCES
The two-dimensional Ising model
- PhysicsFrom Quarks to Pions
- 2018
In this thesis the equivalence of the two-dimensional critical classical Ising model in the scaling limit without a magnetic field, the (one-dimensional) critical quantum Ising chain in the scaling…
Quantum Inverse Scattering Method and Correlation Functions
- Physics, Mathematics
- 1993
One-dimensional Bose-gas One-dimensional Heisenberg magnet Massive Thirring model Classical r-matrix Fundamentals of inverse scattering method Algebraic Bethe ansatz Quantum field theory integral…
The One-Dimensional Hubbard Model
- Physics
- 2015
As one of the minimal models for strongly correlated electron systems, the Hubbard model plays a central role in modern condensed matter physics.
Energy
- Physics, EducationCooperative Evolution
- 2007
Energy is often defined as the ability to do work. There are many forms of energy. A few examples include; Gravitational energy, Kinetic energy (energy of motion), Thermal energy (heat energy),…
Ann
- Psychology
- 2005
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed…
Phys
- Rev. Lett. 117, 207201
- 2016
Phys
- Rev. X 6, 41065
- 2016