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OMNES SIGNED
Open Many-body Non-Equilibrium Systems
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0OMNES 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.
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Project "OMNES" data sheet
The following table provides information about the project.
| Coordinator |
UNIVERZA V LJUBLJANI
Organization address contact info |
| Coordinator Country | Slovenia [SI] |
| Project website | https://www.fmf.uni-lj.si/si/raziskave/MednarodniProjekti/OMNES/ |
| 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 |
Partnership
Take a look of project's partnership.
| # | ||||
|---|---|---|---|---|
| 1 | UNIVERZA V LJUBLJANI | SI (LJUBLJANA) | coordinator | 2˙041˙000.00 |
Map
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.
Publications
| year | authors and title | journal | last update |
|---|---|---|---|
| 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 ŽunkoviÄ, 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 ŽnidariÄ 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 BuÄa, 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 ŽnidariÄ, 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 ŽnidariÄ, 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 BuÄa 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 ŽnidariÄ, 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 ŽunkoviÄ, 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 ŽunkoviÄ, 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 ŽunkoviÄ, 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 ŽunkoviÄ, 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 BuÄa, 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 ŽnidariÄ 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 BuÄa, 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 ŽnidariÄ, 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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