974 citations · 16.2k across the 219 of their papers we have counts for
57 papers · 1 filter
Spread of Entanglement in Generalized Kicked Ising Chain
Tanay Pathak, Hiromi Ebisu, Tomaž Prosen
We investigate the dynamics of entanglement in a generalized version of the kicked Ising chain, extending the model from the standard qubit case (local dimension ) to higher l…
Exact NESS of XXZ circuits boundary driven with arbitrary resets or fields
Vladislav Popkov, Tomaž Prosen
We propose spatially inhomogeneous matrix product ansatz for an exact many-body density operator of a boundary driven XXZ quantum circuit. The ansatz has formally infinite bond-dim…
Extending third quantization with commuting observables: a dissipative spin-boson model
Luka Medic, Anton Ramšak, Tomaž Prosen
We consider the spectral and initial value problem for the Lindblad-Gorini-Kossakowski-Sudarshan master equation describing an open quantum system of bosons and spins, where the bo…
Thermofield dynamics: Quantum Chaos versus Decoherence
Zhenyu Xu, Aurelia Chenu, Tomaž Prosen +1
Quantum chaos imposes universal spectral signatures that govern the thermofield dynamics of a many-body system in isolation. The fidelity between the initial and time-evolving ther…
Spectral and Steady-State Properties of Random Liouvillians
Lucas Sá, Pedro Ribeiro, Tomaž Prosen
We study generic open quantum systems with Markovian dissipation, focusing on a class of stochastic Liouvillian operators of Lindblad form with independent random dissipation chann…
Integrable quantum dynamics of open collective spin models
Pedro Ribeiro, Tomaž Prosen
We consider a collective quantum spin- in contact with Markovian spin-polarized baths. Using a conserved super-operator charge, a differential representation of the Liouvillian…
Convergence radius of perturbative Lindblad driven non-equilibrium steady states
Humberto C. F. Lemos, Tomaž Prosen
We address the problem of analyzing the radius of convergence of perturbative expansion of non-equilibrium steady states of Lindblad driven spin chains. A simple formal approach is…
Exact Bethe ansatz spectrum of a tight-binding chain with dephasing noise
Mariya V. Medvedyeva, Fabian H. L. Essler, Tomaz Prosen
We construct an exact map between a tight-binding model on any bipartite lattice in presence of dephasing noise and a Hubbard model with imaginary interaction strength. In one dime…
Computational complexity of non-equilibrium steady states of quantum spin chains
Ugo Marzolino, Tomaz Prosen
We study non-equilibrium steady states (NESS) of spin chains with boundary Markovian dissipation from the computational complexity point of view. We focus on XX chains whose NESS a…
Complete Generalized Gibbs Ensemble in an interacting Theory
Enej Ilievski, Jacopo De Nardis, Bram Wouters +3
In integrable many-particle systems, it is widely believed that the stationary state reached at late times after a quantum quench can be described by a generalized Gibbs ensemble (…
Integrable non-equilibrium steady state density operators for boundary driven XXZ spin chains: observables and full counting statistics
Tomaz Prosen, Berislav Buca
We will review some known exact solutions for the steady state of the open quantum Heisenberg spin chain coupled to a pair of baths [Phys. Rev. Lett. 107, 137201 (2011).]. Th…
Quantum metrology with non-equilibrium steady states of quantum spin chains
Ugo Marzolino, Tomaž Prosen
We consider parameter estimations with probes being the boundary driven/dissipated non- equilibrium steady states of XXZ spin 1/2 chains. The parameters to be estimated are the dis…
Exact steady state manifold of a boundary driven spin-1 Lai-Sutherland chain
Enej Ilievski, Tomaz Prosen
We present an explicit construction of a family of steady state density matrices for an open integrable spin-1 chain with bilinear and biquadratic interactions, also known as the L…
Exact Nonequilibrium Steady State of an Open Hubbard Chain
Tomaz Prosen
We discuss current carrying non-equilibrium steady state of an open fermionic Hubbard chain that is strongly driven by markovian incoherent processes localized at the chain ends. A…
Eigenvalue statistics as indicator of integrability of non-equilibrium density operators
Tomaz Prosen, Marko Znidaric
We propose to quantify the complexity of non-equilibrium steady state density operators, as well as of long-lived Liouvillian decay modes, in terms of level spacing distribution of…
Generic examples of PT-symmetric qubit (spin 1/2) Liouvillians
Tomaz Prosen
We outline two general classes of examples of PT-symmetric quantum Liouvillian dynamics of open many qubit systems, namely interacting hard-core bosons (or more general XYZ-type sp…
PT-symmetric quantum Liouvillian dynamics
Tomaz Prosen
We discuss a combination of unitary and anti-unitary symmetry of quantum Liouvillian dynamics, in the context of open quantum systems, which implies a D2 symmetry of the complex Li…
A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
Berislav Buca, Tomaz Prosen
We study quantum transport properties of an open Heisenberg XXZ spin 1/2 chain driven by a pair of Lindblad jump operators satisfying a global `microcanonical' constraint, i.e. con…
Wigner separability entropy and complexity of quantum dynamics
Giuliano Benenti, Gabriel G. Carlo, Tomaz Prosen
We propose the Wigner separability entropy as a measure of complexity of a quantum state. This quantity measures the number of terms that effectively contribute to the Schmidt deco…
Transport properties of a boundary-driven one-dimensional gas of spinless fermions
Marko Znidaric, Bojan Zunkovic, Tomaz Prosen
We analytically study a system of spinless fermions driven at the boundary with an oscillating chemical potential. Various transport regimes can be observed: at zero driving freque…
Exact nonequilibrium steady state of a strongly driven open XXZ chain
Tomaz Prosen
An exact and explicit ladder-tensor-network ansatz is presented for the non-equilibrium steady state of an anisotropic Heisenberg XXZ spin-1/2 chain which is driven far from equili…
Third quantization
Thomas H. Seligman, Tomaz Prosen
The basic ideas of second quantization and Fock space are extended to density operator states, used in treatments of open many-body systems. This can be done for fermions and boson…
Quantization over boson operator spaces
Tomaz Prosen, Thomas H. Seligman
The framework of third quantization - canonical quantization in the Liouville space - is developed for open many-body bosonic systems. We show how to diagonalize the quantum Liouvi…
Spectral theorem for the Lindblad equation for quadratic open fermionic systems
Tomaz Prosen
The spectral theorem is proven for the quantum dynamics of quadratic open systems of n fermions described by the Lindblad equation. Invariant eigenspaces of the many-body Liouville…