English
Related papers

Related papers: Entanglement evolution after connecting finite to …

200 papers

We simulate the entanglement dynamics in a critical random quantum Ising chain with generic perturbations using the time-evolving block decimation algorithm. Starting from a product state, we observe super-logarithmic growth of entanglement…

Statistical Mechanics · Physics 2017-04-25 Yichen Huang

We study properties of isolated integrable quantum systems after a sudden quench starting from thermal states. We show that, even if the system is initially in thermal equilibrium at finite temperature, the diagonal entropy after a quench…

Quantum Gases · Physics 2012-07-13 Kai He , Marcos Rigol

We consider the time evolution after quantum quenches in the spin-1/2 Heisenberg XXZ quantum spin chain with Ising-like anisotropy. The time evolution of short-distance spin-spin correlation functions is studied by numerical tensor network…

Statistical Mechanics · Physics 2014-03-05 Maurizio Fagotti , Mario Collura , Fabian H. L. Essler , Pasquale Calabrese

We numerically investigate the growth of the entanglement entropy S_{ent}(t) in time t---after a global quench from a product state---in quantum chains with various kinds of disorder. The main focus is, in particular, on fermionic chains…

Strongly Correlated Electrons · Physics 2016-05-30 Y. Zhao , F. Andraschko , J. Sirker

Entanglement in quantum XY spin chains of arbitrary length is investigated via a recently-developed global measure suitable for generic quantum many-body systems. The entanglement surface is determined over the phase diagram, and found to…

For an electron spin in coupling with an interacting spin chain via hyperfine-type interaction, we investigate the dynamical evolutions of the pairwise entanglement of the spin chain and a correlation function joined the electron spin with…

Mesoscale and Nanoscale Physics · Physics 2012-02-15 Zhi-Hui Wang , Bing-Shen Wang , Zhao-Bin Su

We study the dynamics of a quantum Ising chain after the sudden introduction of a non-integrable long-range interaction. Via an exact mapping onto a fully-connected lattice of hard-core bosons, we show that a pre-thermal state emerges and…

Statistical Mechanics · Physics 2013-11-19 Matteo Marcuzzi , Jamir Marino , Andrea Gambassi , Alessandro Silva

The time evolution of a quantum state with short-range correlations after a quench to a one-dimensional critical Hamiltonian can be understood using the quasi-particle picture, which states that local entanglement spreads as if it was…

In two spatial dimensions, topological order is robust for static deformations at zero temperature, while it is fragile at any finite temperature. How robust is topological order after a quantum quench? In this paper we show that…

Strongly Correlated Electrons · Physics 2016-09-07 Yu Zeng , Alioscia Hamma , Heng Fan

The entanglement entropy of a subsystem $A$ of a quantum system is expressed, in the replica method, through analytic continuation with respect to n of the trace of the n-th power of the reduced density matrix $\tr\rho_A^n$. We study the…

Statistical Mechanics · Physics 2010-03-25 F. Gliozzi , L. Tagliacozzo

Entanglement generated by Ising model has been studied for several authors in order to understand the relation between it and magnetic properties of materials, principally using one or two dimensional models for two or more particles. In…

Quantum Physics · Physics 2008-10-01 Francisco Delgado

We study the exact evolution of two non-interacting qubits, initially in a Bell state, in the presence of an environment, modeled by a kicked Ising spin chain. Dynamics of this model range from integrable to chaotic and we can handle…

Quantum Physics · Physics 2007-11-30 Carlos Pineda , Thomas H. Seligman

Isolated quantum systems follow the unitary evolution, which guarantees the full many body state always keeps a constant entropy as its initial one. In comparison, the local subsystems exhibit relaxation behavior and evolve towards certain…

Statistical Mechanics · Physics 2023-08-29 Tai Kang , Sheng-Wen Li

We study the entropy of entanglement of the ground state in a wide family of one-dimensional quantum spin chains whose interaction is of finite range and translation invariant. Such systems can be thought of as generalizations of the XY…

Mathematical Physics · Physics 2009-11-13 A. R. Its , F. Mezzadri , M. Y. Mo

We study the time evolution of entanglement entropy and entanglement spectrum in a finite-size system which crosses a quantum phase transition at different speeds. We focus on the Ising model with a time-dependent magnetic field, which is…

Statistical Mechanics · Physics 2015-06-17 Elena Canovi , Elisa Ercolessi , Piero Naldesi , Luca Taddia , Davide Vodola

We consider a section of a half-filled chain of free electrons and its entanglement with the rest of the system in the presence of one or two interface defects. We find a logarithmic behaviour of the entanglement entropy with constants…

Statistical Mechanics · Physics 2009-11-11 Ingo Peschel

We study the entanglement entropy scaling of the XXZ chain. While in the critical XY phase of the XXZ chain the entanglement entropy scales logarithmically with a coefficient that is determined by the associated conformal field theory, at…

Strongly Correlated Electrons · Physics 2013-10-15 Pochung Chen , Zhi-long Xue , I. P. McCulloch , Ming-Chiang Chung , Miguel Cazalilla , S. -K. Yip

We study the time evolution of entanglement created by local or extended excitations upon the ground state of a free-fermion chain. A single particle or hole excitation produces a single bit of excess entropy for large times and subsystem…

Statistical Mechanics · Physics 2021-10-15 Viktor Eisler

We study the dynamics of the entanglement spectrum, that is the time evolution of the eigenvalues of the reduced density matrices after a bipartition of a one-dimensional spin chain. Starting from the ground state of an initial Hamiltonian,…

Statistical Mechanics · Physics 2014-06-26 G. Torlai , L. Tagliacozzo , G. De Chiara

External monitoring of quantum many-body systems can give rise to a measurement-induced phase transition characterized by a change in behavior of the entanglement entropy from an area law to an unbounded growth. In this Letter, we show that…

Quantum Physics · Physics 2023-02-14 Alessio Paviglianiti , Alessandro Silva