330 citations · 1.7k across the 22 of their papers we have counts for
22 papers
Operator spreading in quantum hardcore gases
Marko Medenjak
In this article we study a set of integrable quantum cellular automata,the quantum hardcore gases (QHCG), with an arbitrary local Hilbert space dimension, and discuss the matrix pr…
Dynamics of Fluctuations in Quantum Simple Exclusion Processes
Denis Bernard, Fabian H. L. Essler, Ludwig Hruza +1
We consider the dynamics of fluctuations in the quantum asymmetric simple exclusion process (Q-ASEP) with periodic boundary conditions. The Q-ASEP describes a chain of spinless fer…
Correlation functions and transport coefficients in generalised hydrodynamics
Jacopo De Nardis, Benjamin Doyon, Marko Medenjak +1
We review the recent advances on exact results for dynamical correlation functions at large scales and related transport coefficients in interacting integrable models. We discuss D…
-deformed conformal field theories out of equilibrium
Marko Medenjak, Giuseppe Policastro, Takato Yoshimura
We consider the out-of-equilibrium transport in -deformed (1+1)-dimension conformal field theories (CFTs). The theories admit two disparate approaches, integrability and…
Thermal transport in -deformed conformal field theories: from integrability to holography
Marko Medenjak, Giuseppe Policastro, Takato Yoshimura
In this paper we consider the energy and momentum transport in (1+1)-dimension conformal field theories (CFTs) that are deformed by an irrelevant operator , using the int…
Dissipative Bethe Ansatz: Exact Solutions of Quantum Many-Body Dynamics Under Loss
Berislav Buca, Cameron Booker, Marko Medenjak +1
We use the Bethe Ansatz technique to study dissipative systems experiencing loss. The method allows us to exactly calculate the Liouvillian spectrum. This opens the possibility of…
Rigorous bounds on dynamical response functions and time-translation symmetry breaking
Marko Medenjak, Tomaz Prosen, Lenart Zadnik
Dynamical response functions are standard tools for probing local physics near the equilibrium. They provide information about relaxation properties after the equilibrium state is…
Universality classes of spin transport in one-dimensional isotropic magnets: the onset of logarithmic anomalies
Jacopo De Nardis, Marko Medenjak, Christoph Karrasch +1
We report a systematic study of finite-temperature spin transport in quantum and classical one-dimensional magnets with isotropic spin interactions, including both integrable and n…
Diffusion from Convection
Marko Medenjak, Jacopo De Nardis, Takato Yoshimura
We introduce non-trivial contributions to diffusion constant in generic many-body systems arising from quadratic fluctuations of ballistically propagating, i.e. convective, modes.…
Domain wall melting in spin-1 chains
Marko Medenjak, Jacopo De Nardis
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.…
The isolated Heisenberg magnet as a quantum time crystal
Marko Medenjak, Berislav Buca, Dieter Jaksch
We demonstrate analytically and numerically that the paradigmatic model of quantum magnetism, the Heisenberg XXZ spin chain, does not relax to stationarity and hence constitutes a…
Two-species hardcore reversible cellular automaton: matrix ansatz for dynamics and nonequilibrium stationary state
Marko Medenjak, Vladislav Popkov, Tomaž Prosen +2
In this paper we study the statistical properties of a reversible cellular automaton in two out-of-equilibrium settings. In the first part we consider two instances of the initial…
Anomalous spin diffusion in one-dimensional antiferromagnets
Jacopo De Nardis, Marko Medenjak, Christoph Karrasch +1
The problem of characterizing low-temperature spin dynamics in antiferromagnetic spin chains has so far remained elusive. We reinvestigate it by focusing on isotropic antiferromagn…
Operator Entanglement in Interacting Integrable Quantum Systems: the Case of the Rule 54 Chain
Vincenzo Alba, Jerome Dubail, Marko Medenjak
In a many-body quantum system, local operators in Heisenberg picture spread as time increases. Recent studies have attempted to find features of tha…
Exactly solvable deterministic lattice model of crossover between ballistic and diffusive transport
Katja Klobas, Marko Medenjak, Tomaz Prosen
We discuss a simple deterministic lattice gas of locally interacting charged particles, for which we show coexistence of ballistic and diffusive transport. Both, the ballistic and…
Time-dependent matrix product ansatz for interacting reversible dynamics
Katja Klobas, Marko Medenjak, Tomaz Prosen +1
We present an explicit time-dependent matrix product ansatz (tMPA) which describes the time-evolution of any local observable in an interacting and deterministic lattice gas, speci…
Super-diffusion in one-dimensional quantum lattice models
Enej Ilievski, Jacopo De Nardis, Marko Medenjak +1
We identify a class of one-dimensional spin and fermionic lattice models which display diverging spin and charge diffusion constants, including several paradigmatic models of exact…
Diffusion in deterministic interacting lattice systems
Marko Medenjak, Katja Klobas, Tomaz Prosen
We study reversible deterministic dynamics of classical charged particles on a lattice with hard-core interaction. It is rigorously shown that the system exhibits three types of tr…
Lower Bounding Diffusion Constant by the Curvature of Drude Weight
Marko Medenjak, Christoph Karrasch, Tomaz Prosen
We establish a general connection between ballistic and diffusive transport in systems where the ballistic contribution in canonical ensemble vanishes. A lower bound on the Green-K…
Quasilocal charges in integrable lattice systems
Enej Ilievski, Marko Medenjak, Tomaz Prosen +1
We review recent progress in understanding the notion of locality in integrable quantum lattice systems. The central concept are the so-called quasilocal conserved quantities, whic…
Quasilocal conservation laws from semicyclic irreducible representations of in spin- chains
Lenart Zadnik, Marko Medenjak, Tomaz Prosen
We construct quasilocal conserved charges in the gapless () regime of the Heisenberg spin- chain, using semicyclic irreducible representations of $U_q(\mathfr…
Quasilocal conserved operators in isotropic Heisenberg spin 1/2 chain
Enej Ilievski, Marko Medenjak, Tomaz Prosen
Composing higher auxiliary-spin transfer matrices and their derivatives, we construct a family of quasilocal conserved operators of isotropic Heisenberg spin 1/2 chain and rigorous…