Work

Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field

Year: 2008

Type: article

Abstract: The nonequilibrium evolution of the block entanglement entropy is investigated in the $XY$ chain in a transverse magnetic field after the Hamiltonian parameters are suddenly changed from and to arbitrary values. Using Toeplitz matrix representation and multidimensional phase methods, we provide analytic results for large blocks and for all times, showing explicitly the linear growth in time followed by saturation. The consequences of these analytic results are discussed and the effects of a finite block length is taken into account numerically.

Source: Physical Review A

DOI: 10.1103/physreva.78.010306

Authors: Maurizio Fagotti, Pasquale Calabrese

Institutions: University of Pisa, Istituto Nazionale di Fisica Nucleare, Sezione di Pisa

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: European Social Fund

OpenAlex ID: W1970684941

FWCI: 5.027

Cites: 35

Cited by: 385

Related to: 10