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Entanglement scrambling in 2d conformal field theory

Curtis T. AsplundDepartment of Physics, Columbia University, 538 West 120th Street, New York, New York, 10027, United StatesAlice BernamontiInstituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Celestijnenlaan 200D, B-3001, Leuven, BelgiumFederico GalliInstituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Celestijnenlaan 200D, B-3001, Leuven, BelgiumThomas HartmanDepartment of Physics, Cornell University, Ithaca, New York, 14853, United States

2015en

ABI

Annotatsiya

We investigate how entanglement spreads in time-dependent states of a 1+1 dimensional conformal field theory (CFT). The results depend qualitatively on the value of the central charge. In rational CFTs, which have central charge below a critical value, entanglement entropy behaves as if correlations were carried by free quasiparticles. This leads to long-term memory effects, such as spikes in the mutual information of widely separated regions at late times. When the central charge is above the critical value, the quasiparticle picture fails. Assuming no extended symmetry algebra, any theory with c > 1 has diminished memory effects compared to the rational models. In holographic CFTs, with c ≫ 1, these memory effects are eliminated altogether at strong coupling, but reappear after the scrambling time t ≳ β log c at weak coupling.

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Identifikatorlar

DOI: 10.1007/jhep09(2015)110

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