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We study the effect of atomic interaction on the localization and the associated dynamics of Bose-Einstein condensates in a one-dimensional quasiperiodic optical lattice and random Gaussian disordered potentials. When the interactions are…

Quantum Gases · Physics 2024-05-03 Swarup Sarkar , Tapan Mishra , Paulsamy Muruganandam , Pankaj K. Mishra

In this paper, we develop a perturbation formulation to calculate the single interval higher spin R$\acute{e}$nyi and entanglement entropy for two dimensional conformal field theory with $\mathcal{W}_{\infty}(\lambda)$ symmetry. The system…

High Energy Physics - Theory · Physics 2015-06-22 Jiang Long

The real-time dynamics of equal-site correlation functions is studied for one-dimensional spin models with quenched disorder. Focusing on infinite temperature, we present a comparison between the dynamics of models with different quantum…

Statistical Mechanics · Physics 2020-02-07 Jonas Richter , Dennis Schubert , Robin Steinigeweg

Spatiotemporal quenches are efficient at preparing ground states of critical Hamiltonians that have emergent low-energy descriptions with Lorentz invariance. The critical transverse field Ising model with nearest neighbor interactions, for…

Quantum Gases · Physics 2023-08-09 Simon Bernier , Kartiek Agarwal

We study the equilibration behavior following local quenches, using frustrated quantum spin chains as an example of interacting closed quantum systems. Specifically, we examine the statistics of the time series of the Loschmidt echo, the…

Quantum Physics · Physics 2013-03-21 Mathias Diez , Nicholas Chancellor , Stephan Haas , Lorenzo Campos Venuti , Paolo Zanardi

We develop a method to calculate generic time-dependent correlation functions for inhomogeneous quantum quenches in (1+1)-dimensional conformal field theory (CFT) induced by sudden Hamiltonian deformations that modulate the energy density…

Statistical Mechanics · Physics 2025-06-06 Xinyu Liu , Alexander McDonald , Tokiro Numasawa , Biao Lian , Shinsei Ryu

Topological order, reflected in long range patterns of entanglement, is quantified by the topological entanglement entropy (TEE) $\gamma$. We show that for gapped quantum spin liquids (QSL) it is possible to extract $\gamma$ using two-spin…

Strongly Correlated Electrons · Physics 2022-10-17 Shi Feng , Yanjun He , Nandini Trivedi

We consider the time evolution after sudden quenches of global parameters in translational invariant Hamiltonians and study the time average expectation values and entanglement entropies in finite chains. We show that in noninteracting…

Statistical Mechanics · Physics 2013-04-05 Maurizio Fagotti

We study the scaling properties of the entanglement entropy (EE) near quantum critical points in interacting random antiferromagnetic (AF) spin chains. Using density-matrix renormalization group, we compute the half-chain EE near the…

Disordered Systems and Neural Networks · Physics 2024-03-05 Prashant Kumar , R. N. Bhatt

We present a detailed study of the Entanglement Entropy (EE) of excited states in all closed rank one subsectors of N=4 SYM, namely SU(2), SU(1|1) and SL(2). Exploiting the techniques of the Coordinate and the Algebraic Bethe Ansatz we…

High Energy Physics - Theory · Physics 2016-08-30 George Georgiou , Dimitrios Zoakos

We use a Heisenberg spin-1/2 chain to investigate how chaos and localization may affect the entanglement of pairs of qubits. To measure how much entangled a pair is, we compute its concurrence, which is then analyzed in the…

Quantum Physics · Physics 2009-11-10 L. F. Santos , G. Rigolin , C. O. Escobar

We study Lorentzian eternal black holes in the Chern-Simons sector of AdS$_3$ higher spin gravity. We probe such black holes using bulk Wilson lines and motivate new regularity conditions that must be obeyed by the bulk connections in order…

High Energy Physics - Theory · Physics 2016-08-24 Alejandra Castro , Nabil Iqbal , Eva Llabrés

We show that the dynamics resulting from preparing a one-dimensional quantum system in the ground state of two decoupled parts, then joined together and left to evolve unitarily with a translational invariant Hamiltonian (a local quench),…

Statistical Mechanics · Physics 2009-11-13 Pasquale Calabrese , John Cardy

We develop tools for the efficient evaluation of Wilson lines in 3D higher spin gravity, and use these to compute entanglement entropy in the hs$[\lambda]$ Vasiliev theory that governs the bulk side of the duality proposal of Gaberdiel and…

High Energy Physics - Theory · Physics 2016-03-23 Ashwin Hegde , Per Kraus , Eric Perlmutter

We consider the non-equilibrium dynamics after a sudden quench of the magnetic field in the transverse field Ising chain starting from excited states of the pre-quench Hamiltonian. We prove that stationary values of local correlation…

Statistical Mechanics · Physics 2014-05-06 Leda Bucciantini , Márton Kormos , Pasquale Calabrese

In [1] we gave a precise holographic calculation of chaos at the scrambling time scale. We studied the influence of a small perturbation, long in the past, on a two-sided correlation function in the thermofield double state. A similar…

High Energy Physics - Theory · Physics 2015-03-23 Stephen H. Shenker , Douglas Stanford

We develop an approach based on edge theories to calculate the entanglement entropy and related quantities in (2+1)-dimensional topologically ordered phases. Our approach is complementary to, e.g., the existing methods using replica trick…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Xueda Wen , Shunji Matsuura , Shinsei Ryu

Understanding quantum entanglement in interacting higher-dimensional conformal field theories is a challenging task, as direct analytical calculations are often impossible to perform. With holographic entanglement entropy, calculations of…

High Energy Physics - Theory · Physics 2018-06-29 Alexander Jahn , Tadashi Takayanagi

A global quench is an interesting setting where we can study thermalization of subsystems in a pure state. We investigate entanglement entropy (EE) growth in global quenches in holographic field theories and relate some of its aspects to…

High Energy Physics - Theory · Physics 2018-03-29 Márk Mezei

We consider the transition between short-range entangled (SRE) and long-range ordered (and therefore long-range entangled) states of infinite quantum spin chains, which is induced by local measurements. Specifically, we assume that the…

Mathematical Physics · Physics 2026-02-25 Sven Bachmann , Mahsa Rahnama , Gabrielle Tournaire