## Abstract

For two-dimensional conformal field theories (CFTs) in the ground state, it is known that a conformal interface along the entanglement cut can suppress the entanglement entropy from S_{A} ∼ c log L to S_{A}∼ c_{eff} log L, where L is the length of the subsystem A, and c_{eff} ∈ [0, c] is the effective central charge which depends on the transmission property of the conformal interface. In this work, by making use of conformal mappings, we show that a conformal interface has the same effect on entanglement evolution in non-equilibrium cases, including global, local and certain inhomogeneous quantum quenches. I.e. a conformal interface suppresses the time evolution of entanglement entropy by effectively replacing the central charge c with c_{eff}, where c_{eff} is exactly the same as that in the ground state case. We confirm this conclusion by a numerical study on a critical fermion chain. Furthermore, based on the quasi-particle picture, we conjecture that this conclusion holds for an arbitrary quantum quench in CFTs, as long as the initial state can be described by a regularized conformal boundary state.

Original language | English (US) |
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Article number | 195004 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 51 |

Issue number | 19 |

DOIs | |

State | Published - Apr 17 2018 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Statistics and Probability
- Modeling and Simulation
- Mathematical Physics
- General Physics and Astronomy

## Keywords

- conformal field theory
- quantum entanglement
- quantum quench