Entanglement negativity after a local quantum quench in conformal field theories

Xueda Wen, Po Yao Chang, Shinsei Ryu

Research output: Contribution to journalArticlepeer-review

46 Scopus citations

Abstract

We study the time evolution of the entanglement negativity after a local quantum quench in (1+1)-dimensional conformal field theories (CFTs), which we introduce by suddenly joining two initially decoupled CFTs at their end points. We calculate the negativity evolution for both adjacent intervals and disjoint intervals explicitly. For two adjacent intervals, the entanglement negativity grows logarithmically in time right after the quench. After developing a plateau-like feature, the entanglement negativity drops to the ground-state value. For the case of two spatially separated intervals, a light-cone behavior is observed in the negativity evolution; in addition, a long-range entanglement, which is independent of the distance between two intervals, can be created. Our results agree with the heuristic picture that quasiparticles, which carry entanglement, are emitted from the joining point and propagate freely through the system. Our analytical results are confirmed by numerical calculations based on a critical harmonic chain.

Original languageEnglish (US)
Article number075109
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume92
Issue number7
DOIs
StatePublished - Aug 6 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Fingerprint

Dive into the research topics of 'Entanglement negativity after a local quantum quench in conformal field theories'. Together they form a unique fingerprint.

Cite this