Momentum-Space Entanglement and Loschmidt Echo in Luttinger Liquids after a Quantum Quench

B. Dóra, Rex Lundgren, Mark Selover, Frank Pollmann

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Luttinger liquids (LLs) arise by coupling left- and right-moving particles through interactions in one dimension. This most natural partitioning of LLs is investigated by the momentum-space entanglement after a quantum quench using analytical and numerical methods. We show that the momentum-space entanglement spectrum of a LL possesses many universal features both in equilibrium and after a quantum quench. The largest entanglement eigenvalue is identical to the Loschmidt echo, i.e., the overlap of the disentangled and final wave functions of the system. The second largest eigenvalue is the overlap of the first excited state of the disentangled system with zero total momentum and the final wave function. The entanglement gap is universal both in equilibrium and after a quantum quench. The momentum-space entanglement entropy is always extensive and saturates fast to a time independent value after the quench, in sharp contrast to a spatial bipartitioning.

Original languageEnglish
Article number010603
JournalPhysical Review Letters
Volume117
Issue number1
DOIs
Publication statusPublished - Jun 29 2016

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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