OEMBS · Out-of-equilibrium entangled many-body systems
Horizon 2020 — Marie Skłodowska-Curie Actions
- Duration
- 2016-09-01 → 2018-08-31
- EU contribution
- €168,277
- Participants
- 1
- Scheme
- MSCA-IF-EF-ST
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Results in brief
Out-of-equilibrium entangled many-body systems
The aim of the project was to understand how complex behaviors arise in highly-entangled isolated out-of-equilibrium quantum many-body systems. Entanglement is a key phenomenon of quantum systems. Entangled systems cannot be described by knowing independently the states of their elementary constituents. An important fact is that entanglement can be generated by driving a system out of equilibrium, i.e. by applying to the system a sudden manipulation (quantum quench). A complete understanding of out-of-equilibrium behaviors in entangled many-body systems is a fundamental challenge in contemporary physics. The reason is that, in contrast with equilibrium, there is no effective analytical framework to describe out-of-equilibrium phenomena yet. On the other hand, numerical methods are effective only in describing the short-time dynamics. In this context, the specific goal of the project was to clarify fundamental aspects of out-of-equilibrium physics in strongly-entangled systems, focusing on the behavior of quantities that can witness the presence of entanglement (entanglement measures). In fact, in recent years, entanglement emerged as the interdisciplinary cornerstone of several theoretical and numerical tools. Research on entanglement is intrinsically interdisciplinary, lying at the interface between quantum information, quantum field theory, statistical mechanics, and condensed matter physics. Progress in understanding entanglement patterns in both equilibrium and out-of-equilibrium systems has the potential to impact our theoretical understanding (both numerical and analytical) of quantum systems. This could allow to discover exotic collective behaviors and new phases of matter, which can find applications in quantum computing technologies. The researcher pursued a very interdisciplinary approach, by combining state-of-the-art entanglement-based numerical tools as well as analytical methods . This allowed to provide a full characterization of the out-of-equilibrium dynamics of entanglement measures in quantum many body systems.
Data: CORDIS, © European Union
Project objective
The quest for a complete understanding of out-of-equilibrium behaviors in entangled many-bodysystems is a fundamental challenge in contemporary physics. In contrast with equilibrium, whereseveral effective approaches (based on low-energy approximations) are available, there is no effective framework to describe out-of-equilibrium phenomena yet. One has then to rely only on numerical methods, such as the time-dependent Density Matrix Renormalization Group (tDMRG).In this context, the goal of the project is to clarify fundamental aspects of out-of-equilibrium physics in strongly-entangled systems, both in one and in two dimensions. The proposed research pursues a very interdisciplinary approach, by combining state-of-the-art entanglement-based numerical tools, as well as exactly-solvable models. Specifically, in one dimension the project aims at developing a better numerical and analytical framework to: i) simulate the full out-of-equilibrium dynamics in integrable models, merging Monte Carlo and Bethe ansatz techniques; ii) understand the out-of-equilibrium behavior of many-body continuous systems, employing the framework of tensor network techniques (continuous matrix product states); iii) understand the interplay between disorder and integrability in many-body localized phases of matter. Finally, in two dimensions the aim of the project is to characterize the out-of-equilibrium signatures of topological order in quantum spin liquids, with special attention to the comparison with recent experimental results.
Original text from CORDIS.
Participants
- SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE · TriesteCoordinatorItaly
Links
Data: CORDIS, © European Union