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In this work, motivated by the sine-square deformation (SSD) for (1+1)-dimensional quantum critical systems, we study the non-equilibrium quantum dynamics of a conformal field theory (CFT) with SSD, which was recently proposed to have continuous energy spectrum and continuous Virasoro algebra.
2003
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G. Refael and J. E. Moore, “Entanglement entropy of random quantum critical points in one dimension,” Phys. Rev. Lett. 93
2004
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Pasquale Calabrese and John Cardy, “Entanglement entropy and quantum field theory,” Journal of Statistical Mechanics: Theory and Experiment 2004
2004
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Pasquale Calabrese and John Cardy, “Evolution of entanglement entropy in one-dimensional systems,” Journal of Statistical Mechanics: Theory and Experiment 2005
2005
Earlier work this paper cites.
Pasquale Calabrese and John Cardy, “Quantum quenches in extended systems,” Journal of Statistical Mechanics: Theory and Experiment 2007
2007
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Pasquale Calabrese and John Cardy, “Entanglement and correlation functions following a local quench: a conformal field theory approach,” Journal of Statistical Mechanics: Theory and Experiment 2007
2007
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Spyros Sotiriadis and John Cardy, “Inhomogeneous quantum quenches,” Journal of Statistical Mechanics: Theory and Experiment 2008
2008
Earlier work this paper cites.
Andrej Gendiar, Roman Krcmar, and Tomotoshi Nishino, “Spherical deformation for one-dimensional quantum systems,” Progress of Theoretical Physics 122
2009
Earlier work this paper cites.
Pasquale Calabrese and John Cardy, “Entanglement entropy and conformal field theory,” Journal of Physics A: Mathematical and Theoretical 42
2009
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Waseem S Bakr, Jonathon I Gillen, Amy Peng, Simon Fölling, and Markus Greiner, “A quantum gas microscope for detecting single atoms in a hubbard-regime optical lattice,” Nature 462
2009
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Andrej Gendiar, Roman Krcmar, and Tomotoshi Nishino, “Spherical deformation for one-dimensional quantum systems,” Progress of Theoretical Physics 123
2010
Earlier work this paper cites.
Toshiya Hikihara and Tomotoshi Nishino, “Connecting distant ends of one-dimensional critical systems by a sine-square deformation,” Phys. Rev. B 83
2011
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A. Gendiar, M. Daniška, Y. Lee, and T. Nishino, “Suppression of finite-size effects in one-dimensional correlated systems,” Phys. Rev. A 83
2011
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Naokazu Shibata and Chisa Hotta, “Boundary effects in the density-matrix renormalization group calculation,” Phys. Rev. B 84
2011
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Hosho Katsura, “Exact ground state of the sine-square deformed xy spin chain,” Journal of Physics A: Mathematical and Theoretical 44
2011
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Isao Maruyama, Hosho Katsura, and Toshiya Hikihara, “Sine-square deformation of free fermion systems in one and higher dimensions,” Phys. Rev. B 84
2011
Earlier work this paper cites.
Jean-Marie Stéphan and Jérôme Dubail, “Local quantum quenches in critical one-dimensional systems: entanglement, the loschmidt echo, and light-cone effects,” Journal of Statistical Mechanics: Theory and Experiment 2011
2011
Cited alongside, same era.
Maurizio Fagotti and Pasquale Calabrese, “Universal parity effects in the entanglement entropy of xx chains with open boundary conditions,” Journal of Statistical Mechanics: Theory and Experiment 2011
2011
Cited alongside, same era.
Chisa Hotta and Naokazu Shibata, “Grand canonical finite-size numerical approaches: A route to measuring bulk properties in an applied field,” Phys. Rev. B 86
2012
Cited alongside, same era.
Hosho Katsura, “Sine-square deformation of solvable spin chains and conformal field theories,” Journal of Physics A: Mathematical and Theoretical 45
2012
Cited alongside, same era.
Xueda Wen, Shinsei Ryu, and Andreas W. W. Ludwig, “Evolution operators in conformal field theories and conformal mappings: Entanglement hamiltonian, the sine-square deformation, and others,” Phys. Rev. B 93
2016
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Javier Rodríguez-Laguna, Silvia N Santalla, Giovanni Ramírez, and Germán Sierra, “Entanglement in correlated random spin chains, rna folding and kinetic roughening,” New Journal of Physics 18
2016
Later among the works it cites.
Jacopo Viti, Jean-Marie Stéphan, Jérôme Dubail, and Masudul Haque, “Inhomogeneous quenches in a free fermionic chain: Exact results,” EPL (Europhysics Letters) 115
2016
Later among the works it cites.
Pasquale Calabrese and John Cardy, “Quantum quenches in 1 + 1 dimensional conformal field theories,” Journal of Statistical Mechanics: Theory and Experiment 2016
2016
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Chisa Hotta, Satoshi Nishimoto, and Naokazu Shibata, “Grand canonical finite size numerical approaches in one and two dimensions: Real space energy renormalization and edge state generation,” Phys. Rev. B 87
2013
Cited alongside, same era.
Masahiro Nozaki, Tokiro Numasawa, and Tadashi Takayanagi, “Quantum entanglement of local operators in conformal field theories,” Phys. Rev. Lett. 112
2014
Cited alongside, same era.
Song He, Tokiro Numasawa, Tadashi Takayanagi, and Kento Watanabe, “Quantum dimension as entanglement entropy in two dimensional conformal field theories,” Phys. Rev. D 90
2014
Cited alongside, same era.
John Cardy, “Thermalization and revivals after a quantum quench in conformal field theory,” Phys. Rev. Lett. 112
2014
Cited alongside, same era.
Tsukasa Tada, “Sine-square deformation and its relevance to string theory,” Modern Physics Letters A 30
2015
Cited alongside, same era.
Kouichi Okunishi and Hosho Katsura, “Sine-square deformation and supersymmetric quantum mechanics,” Journal of Physics A: Mathematical and Theoretical 48
2015
Cited alongside, same era.
Nobuyuki Ishibashi and Tsukasa Tada, “Infinite circumference limit of conformal field theory,” Journal of Physics A: Mathematical and Theoretical 48
2015
Cited alongside, same era.
Giovanni Ramírez, Javier Rodríguez-Laguna, and Germán Sierra, “Entanglement over the rainbow,” Journal of Statistical Mechanics: Theory and Experiment 2015
2015
Cited alongside, same era.
Bruno Bertini, Mario Collura, Jacopo De Nardis, and Maurizio Fagotti, “Transport in out-of-equilibrium x x z xxz chains: Exact profiles of charges and currents,” Phys. Rev. Lett. 117
2016
Later among the works it cites.
It is noted that in the global quench, Calabrese and Cardy 2005 ; Calabrese and Cardy 2007a ; Calabrese and Cardy 2016 since the initial state is short-range entangled, the entangled-pairs in the initial state are localized in space. In the local quench in Ref. \rev@citealpnum
2016
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Adam M. Kaufman, M. Eric Tai, Alexander Lukin, Matthew Rispoli, Robert Schittko, Philipp M. Preiss, and Markus Greiner, “Quantum thermalization through entanglement in an isolated many-body system,” Science 353
2016
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Shota Tamura and Hosho Katsura, “Zero-energy states in conformal field theory with sine-square deformation,” Progress of Theoretical and Experimental Physics 2017
2017
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Viktor Eisler and Daniel Bauernfeind, “Front dynamics and entanglement in the xxz chain with a gradient,” Phys. Rev. B 96
2017
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Javier Rodríguez-Laguna, Jérôme Dubail, Giovanni Ramírez, Pasquale Calabrese, and Germán Sierra, “More on the rainbow chain: entanglement, space-time geometry and thermal states,” Journal of Physics A: Mathematical and Theoretical 50
2017
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2017
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William Berdanier, Michael Kolodrubetz, Romain Vasseur, and Joel E. Moore, “Floquet dynamics of boundary-driven systems at criticality,” Phys. Rev. Lett. 118
2017
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Bruno Bertini, Lorenzo Piroli, and Pasquale Calabrese, “Universal broadening of the light cone in low-temperature transport,” Phys. Rev. Lett. 120
2018
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Xueda Wen, Yuxuan Wang, and Shinsei Ryu, “Entanglement evolution across a conformal interface,” Journal of Physics A: Mathematical and Theoretical 51
2018
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