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Open Many-body Non-Equilibrium Systems

Total Cost €


EC-Contrib. €






 OMNES project word cloud

Explore the words cloud of the OMNES project. It provides you a very rough idea of what is the project "OMNES" about.

centered    interacting    context    sufficiently    dynamics    interactions    generator    spin    fundamentally    omnes    integrable    solution    dynamical    modes    emerge    weight    stability    quasilocal    explore    explicit    dissipative    lattice    kinematic    debated    pi    question    perturbations    foresee    integrability    transport    boundaries    drude    formulate    steady    answered    spatial    relevance    boundary    limited    statistics    laws    density    relaxation    incoherent    physics    heat    xxz    magnetization    theory    conserved    clean    time    framework    interconnected    manipulate    setup    whereas    quantities    small    phases    statistical    unitary    local    hamiltonian    mathematical    strict    exact    solutions    breaking    quantum    first    gave    positivity    models    matrix    body    evolution    random    paradigm    nanoscale    charge    equilibrium    temperature    bulk    dimensions    situations    operators    conservation    exploring    link    chaos    considering    chain    pioneered    fundamental   

Project "OMNES" data sheet

The following table provides information about the project.


Organization address
address: KONGRESNI TRG 12
postcode: 1000

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Slovenia [SI]
 Project website
 Total cost 2˙041˙000 €
 EC max contribution 2˙041˙000 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2015-AdG
 Funding Scheme ERC-ADG
 Starting year 2016
 Duration (year-month-day) from 2016-10-01   to  2021-09-30


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    UNIVERZA V LJUBLJANI SI (LJUBLJANA) coordinator 2˙041˙000.00


 Project objective

We shall study non-equilibrium many-body quantum systems, considering local interactions in one or two spatial dimensions in situations where the generator of time evolution in the bulk of the system is unitary whereas the incoherent processes are limited to the system's boundaries. We foresee a mathematical theory of dynamical quantum phases of matter with applications in the theory of quantum transport and nanoscale devices that manipulate heat, information, charge or magnetization.

Our steady-state setup represents a fundamental paradigm of mathematical statistical physics which has been pioneered by the PI, who gave the first explicit solution for boundary driven/dissipative strongly interacting many-body problem (XXZ spin 1/2 chain) which answered a long debated question on strict positivity of the spin Drude weight at high temperature.

The main focus of OMNES will be centered on exploring the following three interconnected pathways: Most importantly, we shall develop a general framework for exact solutions of non-equilibrium integrable quantum many-body models, in particular the steady states and relaxation modes, and develop quantum integrability methods for non-equilibrium many-body density operators. Fundamentally new concepts which are expected to emerge from these studies, relevant beyond the context of boundary-driven/dissipative systems, are novel quasilocal conservation laws of the bulk Hamiltonian dynamics. Second, we shall investigate relevance of exact solutions in physics of generic systems which are small perturbations of integrable models and explore the problem of stability of local and quasilocal conserved quantities under generic integrability-breaking perturbations. Third, we shall formulate and study the problem of quantum chaos in clean lattice systems, in particular to establish a link between random matrix theory of level statistics and kinematic and dynamical features of lattice models with sufficiently strong integrability breaking.


year authors and title journal last update
List of publications.
2019 Gernot Akemann, Mario Kieburg, Adam Mielke, Tomaž Prosen
Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems
published pages: 254101-1-254101-, ISSN: 0031-9007, DOI: 10.1103/physrevlett.123.254101
Physical Review Letters 123/25 2020-04-07
2019 Vladislav Popkov, Mario Salerno
Switching pure states of the dissipative Heisenberg XXZ chain by local magnetic fields
published pages: 174430-1-174430-, ISSN: 2469-9950, DOI: 10.1103/physrevb.100.174430
Physical Review B 100/17 2019-12-16
2019 Katja Klobas, Marko Medenjak, Tomaž Prosen, Matthieu Vanicat
Time-Dependent Matrix Product Ansatz for Interacting Reversible Dynamics
published pages: 651-688, ISSN: 0010-3616, DOI: 10.1007/s00220-019-03494-5
Communications in Mathematical Physics 371/2 2019-12-16
2019 Giulia Piccitto, Bojan Žunkovič, Alessandro Silva
Dynamical phase diagram of a quantum Ising chain with long-range interactions
published pages: 180402-1-180402-, ISSN: 2469-9950, DOI: 10.1103/physrevb.100.180402
Physical Review B 100/18 2019-12-16
2019 Vipin Kerala Varma, Marko Žnidarič
Diffusive transport in a quasiperiodic Fibonacci chain: Absence of many-body localization at weak interactions
published pages: 085105-1-085105-, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.100.085105
Physical Review B 100/8 2019-12-16
2019 Bruno Bertini, Pavel Kos, Tomaž Prosen
Exact Correlation Functions for Dual-Unitary Lattice Models in 1 + 1 Dimensions
published pages: 210601-1-210601-, ISSN: 0031-9007, DOI: 10.1103/physrevlett.123.210601
Physical Review Letters 123/21 2019-12-16
2019 Bruno Bertini, Lorenzo Piroli, Márton Kormos
Transport in the sine-Gordon field theory: From generalized hydrodynamics to semiclassics
published pages: 035108-1-035108-, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.100.035108
Physical Review B 100/3 2019-12-16
2019 Vincenzo Alba, Bruno Bertini, Maurizio Fagotti
Entanglement evolution and generalised hydrodynamics: interacting integrable systems
published pages: 33 pp, ISSN: 2542-4653, DOI: 10.21468/SciPostPhys.7.1.005
SciPost Physics 7/1 2019-10-08
2019 Berislav Buča, Juan P. Garrahan, Tomaž Prosen, Matthieu Vanicat
Exact large deviation statistics and trajectory phase transition of a deterministic boundary driven cellular automaton
published pages: 020103-1-020103-, ISSN: 2470-0045, DOI: 10.1103/PhysRevE.100.020103
Physical Review E 100/2 2019-10-08
2019 Marko Ljubotina, Marko Žnidarič, Tomaž Prosen
Kardar-Parisi-Zhang Physics in the Quantum Heisenberg Magnet
published pages: 210602-1-210602-, ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.122.210602
Physical Review Letters 122/21 2019-10-07
2019 Marko Medenjak, Vladislav Popkov, Tomaz Prosen, Eric Ragoucy, Matthieu Vanicat
Two-species hardcore reversible cellular automaton: matrix ansatz for dynamics and nonequilibrium stationary state
published pages: 37 pp, ISSN: 2542-4653, DOI: 10.21468/SciPostPhys.6.6.074
SciPost Physics 6/6 2019-10-07
2018 Pavel Kos, Marko Ljubotina, Tomaž Prosen
Many-Body Quantum Chaos: Analytic Connection to Random Matrix Theory
published pages: 021062-10-021062, ISSN: 2160-3308, DOI: 10.1103/PhysRevX.8.021062
Physical Review X 8/2 2019-06-13
2017 Marko Medenjak, Christoph Karrasch, Tomaž Prosen
Lower Bounding Diffusion Constant by the Curvature of Drude Weight
published pages: 080602-1-080602-, ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.119.080602
Physical Review Letters 119/8 2019-06-13
2018 Marko Žnidarič, Marko Ljubotina
Interaction instability of localization in quasiperiodic systems
published pages: 201800589, ISSN: 0027-8424, DOI: 10.1073/pnas.1800589115
Proceedings of the National Academy of Sciences Vol. 115, no. 18 2019-06-13
2017 Tomaž Prosen, Berislav Buča
Exact matrix product decay modes of a boundary driven cellular automaton
published pages: 395002, ISSN: 1751-8113, DOI: 10.1088/1751-8121/aa85a3
Journal of Physics A: Mathematical and Theoretical 50/39 2019-06-13
2017 Chihiro Matsui, Tomaž Prosen
Construction of the steady state density matrix and quasilocal charges for the spin-1/2 XXZ chain with boundary magnetic fields
published pages: 385201, ISSN: 1751-8113, DOI: 10.1088/1751-8121/aa82db
Journal of Physics A: Mathematical and Theoretical 50/38 2019-06-13
2018 Alexios A. Michailidis, Marko Žnidarič, Mariya Medvedyeva, Dmitry A. Abanin, Tomaž Prosen, Z. Papić
Slow dynamics in translation-invariant quantum lattice models
published pages: 104307-1-104307-, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.97.104307
Physical Review B 97/10 2019-06-13
2018 J.M.P. Carmelo, S. Nemati, T. Prosen
Absence of ballistic charge transport in the half-filled 1D Hubbard model
published pages: 418-498, ISSN: 0550-3213, DOI: 10.1016/j.nuclphysb.2018.03.011
Nuclear Physics B 930 2019-06-13
2017 Ugo Marzolino, Tomaž Prosen
Fisher information approach to nonequilibrium phase transitions in a quantum XXZ spin chain with boundary noise
published pages: 104402-1-104402-, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.96.104402
Physical Review B 96/10 2019-06-13
2018 Matthieu Vanicat
Integrable Floquet dynamics, generalized exclusion processes and “fused” matrix ansatz
published pages: 298-329, ISSN: 0550-3213, DOI: 10.1016/j.nuclphysb.2018.02.007
Nuclear Physics B 929 2019-06-13
2017 Marko Medenjak, Katja Klobas, Tomaž Prosen
Diffusion in Deterministic Interacting Lattice Systems
published pages: 110603-1-110603-, ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.119.110603
Physical Review Letters 119/11 2019-06-13
2017 Ivan Kukuljan, Sašo Grozdanov, Tomaž Prosen
Weak quantum chaos
published pages: 060301-1-060301-, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.96.060301
Physical Review B 96/6 2019-06-13
2017 Pavel Kos, Tomaž Prosen
Time-dependent correlation functions in open quadratic fermionic systems
published pages: 123103, ISSN: 1742-5468, DOI: 10.1088/1742-5468/aa9681
Journal of Statistical Mechanics: Theory and Experiment 2017/12 2019-06-13
2019 Marko Ljubotina, Spyros Sotiriadis, Tomaz Prosen
Non-equilibrium quantum transport in presence of a defect: the non-interacting case
published pages: 34 pp, ISSN: 2542-4653, DOI: 10.21468/SciPostPhys.6.1.004
SciPost Physics 6/1 2019-06-06
2019 Alessio Lerose, Bojan Žunkovič, Alessandro Silva, Andrea Gambassi
Quasilocalized excitations induced by long-range interactions in translationally invariant quantum spin chains
published pages: 121112, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.99.121112
Physical Review B 99/12 2019-06-06
2019 Marko Ljubotina, Lenart Zadnik, Tomaž Prosen
Ballistic Spin Transport in a Periodically Driven Integrable Quantum System
published pages: 150605, ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.122.150605
Physical Review Letters 122/15 2019-06-06
2018 Matthieu Vanicat, Lenart Zadnik, Tomaž Prosen
Integrable Trotterization: Local Conservation Laws and Boundary Driving
published pages: 030606-1-030606-, ISSN: 0031-9007, DOI: 10.1103/physrevlett.121.030606
Physical Review Letters 121/3 2019-06-06
2019 Pedro Ribeiro, Tomaž Prosen
Integrable Quantum Dynamics of Open Collective Spin Models
published pages: 010401-1-010401-, ISSN: 0031-9007, DOI: 10.1103/physrevlett.122.010401
Physical Review Letters 122/1 2019-06-06
2019 Bruno Bertini, Pavel Kos, Tomaž Prosen
Entanglement Spreading in a Minimal Model of Maximal Many-Body Quantum Chaos
published pages: 021033-1-021033-, ISSN: 2160-3308, DOI: 10.1103/physrevx.9.021033
Physical Review X 9/2 2019-06-06
2019 Márton Mestyán, Bruno Bertini, Lorenzo Piroli, Pasquale Calabrese
Spin-charge separation effects in the low-temperature transport of one-dimensional Fermi gases
published pages: 014305-1-014305-, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.99.014305
Physical Review B 99/1 2019-06-06
2018 Katja Klobas, Marko Medenjak, Tomaž Prosen
Exactly solvable deterministic lattice model of crossover between ballistic and diffusive transport
published pages: 123202, ISSN: 1742-5468, DOI: 10.1088/1742-5468/aae853
Journal of Statistical Mechanics: Theory and Experiment 2018/12 2019-06-06
2018 Yicheng Zhang, Lev Vidmar, Marcos Rigol
Impenetrable SU ( N ) fermions in one-dimensional lattices
published pages: 042129-1-042129-, ISSN: 2469-9926, DOI: 10.1103/PhysRevA.98.042129
Physical Review A 98/4 2019-06-03
2019 Leonid A. Bunimovich, Giulio Casati, Tomaž Prosen, Gregor Vidmar
Few Islands Approximation of Hamiltonian System with divided Phase Space
published pages: 1-10, ISSN: 1058-6458, DOI: 10.1080/10586458.2018.1559777
Experimental Mathematics 2019-06-03
2019 Alessio Lerose, Bojan Žunkovič, Jamir Marino, Andrea Gambassi, Alessandro Silva
Impact of nonequilibrium fluctuations on prethermal dynamical phase transitions in long-range interacting spin chains
published pages: 045128-1-045128-, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.99.045128
Physical Review B 99/4 2019-05-22
2018 Alessio Lerose, Jamir Marino, Bojan Žunkovič, Andrea Gambassi, Alessandro Silva
Chaotic Dynamical Ferromagnetic Phase Induced by Nonequilibrium Quantum Fluctuations
published pages: 130603-1-130603-, ISSN: 0031-9007, DOI: 10.1103/physrevlett.120.130603
Physical Review Letters 120/13 2019-05-27
2018 Eric Bertin, Matthieu Vanicat
Matrix product representation of the stationary state of the open zero range process
published pages: 245001, ISSN: 1751-8113, DOI: 10.1088/1751-8121/aac196
Journal of Physics A: Mathematical and Theoretical 51/24 2019-04-18
2018 Enej Ilievski, Jacopo De Nardis, Marko Medenjak, Tomaž Prosen
Superdiffusion in One-Dimensional Quantum Lattice Models
published pages: 230602-1-230602-, ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.121.230602
Physical Review Letters 121/23 2019-04-18
2018 Szabolcs Vajna, Katja Klobas, Tomaž Prosen, Anatoli Polkovnikov
Replica Resummation of the Baker-Campbell-Hausdorff Series
published pages: 200607-5-200607-, ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.120.200607
Physical Review Letters 120/20 2019-04-18
2018 Bruno Bertini, Maurizio Fagotti, Lorenzo Piroli, Pasquale Calabrese
Entanglement evolution and generalised hydrodynamics: noninteracting systems
published pages: 39LT01, ISSN: 1751-8113, DOI: 10.1088/1751-8121/aad82e
Journal of Physics A: Mathematical and Theoretical 51/39 2019-04-18
2018 Bruno Bertini, Elena Tartaglia, Pasquale Calabrese
Entanglement and diagonal entropies after a quench with no pair structure
published pages: 63104, ISSN: 1742-5468, DOI: 10.1088/1742-5468/aac73f
Journal of Statistical Mechanics: Theory and Experiment 2018/6 2019-04-18
2018 Bruno Bertini, Lorenzo Piroli
Low-temperature transport in out-of-equilibrium XXZ chains
published pages: 33104, ISSN: 1742-5468, DOI: 10.1088/1742-5468/aab04b
Journal of Statistical Mechanics: Theory and Experiment 2018/3 2019-04-18
2018 C Finn, E Ragoucy, M Vanicat
Matrix product solution to multi-species ASEP with open boundaries
published pages: 43201, ISSN: 1742-5468, DOI: 10.1088/1742-5468/aab1b5
Journal of Statistical Mechanics: Theory and Experiment 2018/4 2019-04-18
2018 Silvia Pappalardi, Angelo Russomanno, Bojan Žunkovič, Fernando Iemini, Alessandro Silva, Rosario Fazio
Scrambling and entanglement spreading in long-range spin chains
published pages: 134303-1-134303-, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.98.134303
Physical Review B 98/13 2019-04-18
2018 Berislav Buča, Tomaž Prosen
Strongly correlated non-equilibrium steady states with currents – quantum and classical picture
published pages: 421-444, ISSN: 1951-6355, DOI: 10.1140/epjst/e2018-00100-9
The European Physical Journal Special Topics 227/3-4 2019-04-04
2018 I. Kukuljan, S. Sotiriadis, G. Takacs
Correlation Functions of the Quantum Sine-Gordon Model in and out of Equilibrium
published pages: 110402-1-110402-, ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.121.110402
Physical Review Letters 121/11 2019-04-04
2018 Bruno Bertini, Pavel Kos, Tomaž Prosen
Exact Spectral Form Factor in a Minimal Model of Many-Body Quantum Chaos
published pages: 264101-1-264101-, ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.121.264101
Physical Review Letters 121/26 2019-02-25
2017 Vipin Kerala Varma, Clélia de Mulatier, Marko Žnidarič
Fractality in nonequilibrium steady states of quasiperiodic systems
published pages: 32130, ISSN: 2470-0045, DOI: 10.1103/PhysRevE.96.032130
Physical Review E 96/3 2019-06-13
2017 Humberto C. F. Lemos, Tomaž Prosen
Convergence radius of perturbative Lindblad-driven nonequilibrium steady states
published pages: 42137, ISSN: 2470-0045, DOI: 10.1103/PhysRevE.95.042137
Physical Review E 95/4 2019-06-13
2017 C. Karrasch, T. Prosen, F. Heidrich-Meisner
Proposal for measuring the finite-temperature Drude weight of integrable systems
published pages: 060406-1-060406-, ISSN: 2469-9950, DOI: 10.1103/PhysRevB.95.060406
Physical Review B 95/6 2019-06-13
2017 Lenart Zadnik, Tomaž Prosen
Quasilocal conservation laws in the quantum Hirota model
published pages: 265203, ISSN: 1751-8113, DOI: 10.1088/1751-8121/aa6e09
Journal of Physics A: Mathematical and Theoretical 50/26 2019-06-13
2017 Berislav Buča, Tomaž Prosen
Charge and spin current statistics of the open Hubbard model with weak coupling to the environment
published pages: 52141, ISSN: 2470-0045, DOI: 10.1103/PhysRevE.95.052141
Physical Review E 95/5 2019-06-13
2017 Marko Ljubotina, Marko Žnidarič, Tomaž Prosen
Spin diffusion from an inhomogeneous quench in an integrable system
published pages: 16117, ISSN: 2041-1723, DOI: 10.1038/ncomms16117
Nature Communications 8 2019-06-13

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