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

Abstract:
The non-equilibrium 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.
Publication status:
Published

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Publisher copy:
10.1103/PhysRevA.78.010306

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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Astrophysics
Calabrese, P More by this author
Journal:
Phys. Rev. A
Volume:
78
Issue:
1
Pages:
010306
Publication date:
2008-04-22
DOI:
EISSN:
1094-1622
ISSN:
1050-2947
URN:
uuid:5ccaf9b5-dc64-48d0-ab1b-5f3ceedc4fb5
Source identifiers:
208592
Local pid:
pubs:208592
Language:
English
Keywords:

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