The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Evolution of entanglement entropy following a quantum quench: Analytic results for theXYchain in a transverse magnetic field
Open accessAbstract
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.
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Citations
Cites
Entanglement in many-body systems
Amico, L., Fazio, R., Osterloh, A., & Vedral, V. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.517 · Cited by 3,745
The density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
Entanglement Entropy and Quantum Field Theory
Calabrese, P., & Cardy, J. (2004) · arXiv · doi:10.48550/arxiv.hep-th/0405152 · Cited by 3,275
Self-citationEntanglement in Quantum Critical Phenomena
Vidal, G., Latorre, J. I., Rico, E., & Kitaev, A. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.227902 · Cited by 2,793
Trotzky, S., Cheinet, P., Fölling, S., Feld, M., Schnorrberger, U., Rey, A. M., Polkovnikov, A., Demler, E. A., Lukin, M. D., & Bloch, I. (2008) · Science · doi:10.1126/science.1150841 · Cited by 698
General Entanglement Scaling Laws from Time Evolution
Eisert, J., & Osborne, T. J. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.150404 · Cited by 201
On entropy growth and the hardness of simulating time evolution
Schuch, N., Wolf, M. M., Vollbrecht, K. G. H., & Cirac, J. I. (2008) · New Journal of Physics · doi:10.1088/1367-2630/10/3/033032 · Cited by 113
Cited by
Colloquium : Area laws for the entanglement entropy
Eisert, J., Cramer, M., & Plenio, M. B. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.277 · Cited by 2,873
Entanglement entropy and conformal field theory
Calabrese, P., & Cardy, J. (2009) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/42/50/504005 · Cited by 1,688
“The exact form of f (p′, p′′) has been exactly calculated only for the XY model in a transverse field [124].”
MethodSelf-citationQuantum Quench in the Transverse-Field Ising Chain
Calabrese, P., Essler, F. H. L., & Fagotti, M. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.227203 · Cited by 688
Self-citationQuench dynamics and relaxation in isolated integrable quantum spin chains
Essler, F. H. L., & Fagotti, M. (2016) · Journal of Statistical Mechanics: Theory and Experiment · doi:10.1088/1742-5468/2016/06/064002 · Cited by 668
Self-citationReduced density matrix after a quantum quench
Fagotti, M., & Essler, F. H. L. (2013) · Physical Review B · doi:10.1103/physrevb.87.245107 · Cited by 327
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Metadata
- Authors
- Fagotti, M., & Calabrese, P.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2008-07-10
- Volume
- 78
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1970684941
- Cited by
- 378
- References
- 7
- FWCI
- 5.99
- Type
- journal article
- Language
- en
- Open access
- green
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