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A many-body localized (MBL) state is a new state of matter emerging in a disordered interacting system at high energy densities through a disorder driven dynamic phase transition. The nature of the phase transition and the evolution of the…

Strongly Correlated Electrons · Physics 2016-07-20 S. P. Lim , D. N. Sheng

The geometric entanglement per lattice site, as a holistic measure of the multipartite entanglement, serves as a universal marker to detect quantum phase transitions in quantum many-body systems. However, it is very difficult to compute the…

Statistical Mechanics · Physics 2011-06-13 Hong-Lei Wang , Qian-Qian Shi , Sheng-Hao Li , Huan-Qiang Zhou

The relation between quantum phase transitions, entanglement, and geometric phases is investigated with a system of two qubits with XY type interaction. A seam of level crossings of the system is a circle in parameter space of the…

Quantum Physics · Physics 2009-10-31 Sangchul Oh

We consider a spin belonging to a many body system in a magnetically ordered phase, which initial state is a symmetry broken ground state. We assume that in this system a sudden quench of the Hamiltonian induces an evolution. We show that…

Quantum Physics · Physics 2017-12-21 Giuseppe Zonzo , Antonio Capolupo , Salvatore Marco Giampaolo

The dynamics of entanglement has recently been realized as a useful probe in studying ergodicity and its breakdown in quantum many-body systems. In this paper, we study theoretically the growth of entanglement in quantum many-body systems…

Statistical Mechanics · Physics 2017-03-02 Wen Wei Ho , Dmitry A. Abanin

In this paper we study various aspects of entanglement entropy in strongly-coupled de Sitter quantum field theories in various dimensions. We find gravity solutions that are dual to field theories in a fixed de Sitter background, both in…

High Energy Physics - Theory · Physics 2014-07-08 Willy Fischler , Sandipan Kundu , Juan F. Pedraza

We consider the evolution of entanglement entropy in a two-dimensional conformal field theory with a holographic dual. Specifically, we are interested in a class of excited states produced by a combination of pure-state (local operator) and…

High Energy Physics - Theory · Physics 2026-01-30 Kazuki Doi , Tadashi Takayanagi

Quenched randomness can have a dramatic effect on the dynamics of isolated 1D quantum many-body systems, even for systems that thermalize. This is because transport, entanglement, and operator spreading can be hindered by `Griffiths' rare…

Disordered Systems and Neural Networks · Physics 2018-07-25 Adam Nahum , Jonathan Ruhman , David A. Huse

Isolated quantum systems at strong disorder can display many-body localization (MBL), a remarkable phenomena characterized by an absence of conduction even at finite temperatures. As the ratio of interactions to disorder is increased, one…

Disordered Systems and Neural Networks · Physics 2014-05-08 Tarun Grover

We study dynamics of quantum entanglement in smooth global quenches with a finite rate, by computing the time evolution of entanglement entropy in 1 + 1 dimensional free scalar theory with time-dependent masses which start from a nonzero…

High Energy Physics - Theory · Physics 2018-01-15 Mitsuhiro Nishida , Masahiro Nozaki , Yuji Sugimoto , Akio Tomiya

Entanglement evolutions after a global quantum quench and a local quantum quench in 1+1 dimensional conformal field theories (CFTs) show qualitatively different behaviors, and are studied within two different setups. In this work, we bridge…

Strongly Correlated Electrons · Physics 2016-11-02 Xueda Wen

We propose a new approach to probing ergodicity and its breakdown in quantum many-body systems based on their response to a local perturbation. We study the distribution of matrix elements of a local operator between the system's…

Disordered Systems and Neural Networks · Physics 2015-12-25 Maksym Serbyn , Z. Papić , Dmitry A. Abanin

The Aubry-Andr\'e 1D lattice model describes a particle hopping in a pseudo-random potential. Depending on its strength $\lambda$, all eigenstates are either localized ($\lambda>1$) or delocalized ($\lambda<1$). Near the transition, the…

Statistical Mechanics · Physics 2019-03-22 Aritra Sinha , Marek M. Rams , Jacek Dziarmaga

A quantum many-body system undergoes phase transitions of distinct species with variations of local and global parameters. We propose a framework in which a dynamical quantity can change its behavior for quenches across global…

Quantum Physics · Physics 2023-10-27 Leela Ganesh Chandra Lakkaraju , Srijon Ghosh , Debasis Sadhukhan , Aditi Sen De

We study the non-equilibrium dynamics of quenching through a quantum critical point in topological systems, focusing on one of their defining features: ground state degeneracies and associated topological sectors. We present the notion of…

Strongly Correlated Electrons · Physics 2014-07-02 G. Kells , D. Sen , J. K. Slingerland , S. Vishveshwara

Many-body systems undergoing quantum phase transitions reveal substantial growth of non-classical correlations between different parties of the system. This behavior is manifested by characteristic divergences of the von Neumann entropy.…

Quantum Gases · Physics 2020-02-12 Damian Włodzyński , Daniel Pęcak , Tomasz Sowiński

We introduce and study a toy model for anomalous transport and Griffiths effects in one dimensional quantum disordered isolated systems near the Many-Body Localization (MBL) transitions. The model is constituted by a collection of 1d…

Disordered Systems and Neural Networks · Physics 2020-01-22 Marco Schiró , Marco Tarzia

A model quantum system is proposed to describe position states of a massive body in flat space on large scales, excluding all standard quantum and gravitational degrees of freedom. The model is based on standard quantum spin commutators,…

General Relativity and Quantum Cosmology · Physics 2014-12-05 Craig J. Hogan

We generalize the symmetric multi-qubit states to their q-analogs, whose basis vectors are identified with the q-Dicke states. We study the entanglement entropy in these states and find that entanglement is extruded towards certain regions…

Quantum Physics · Physics 2013-10-14 Zhi-Hua Li , An-Min Wang

We study the evolution and scaling of the entanglement entropy after two types of quenches for a 2+1 field theory, using holographic techniques. We study a thermal quench, dual to the addition of a shell of uncharged matter to four…

High Energy Physics - Theory · Physics 2011-08-11 Tameem Albash , Clifford V. Johnson