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Title: Entanglement growth after a global quench in free scalar field theory

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3];  [4]
  1. Stanford Univ., Stanford, CA (United States)
  2. Tufts Univ., Medford, MA (United States)
  3. Princeton Univ., Princeton, NJ (United States)
  4. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

We compute the entanglement and Rényi entropy growth after a global quench in various dimensions in free scalar field theory. We study two types of quenches: a boundary state quench and a global mass quench. Both of these quenches are investigated for a strip geometry in 1, 2, and 3 spatial dimensions, and for a spherical geometry in 2 and 3 spatial dimensions. We compare the numerical results for massless free scalars in these geometries with the predictions of the analytical quasiparticle model based on EPR pairs, and find excellent agreement in the limit of large region sizes. As a result, at subleading order in the region size, we observe an anomalous logarithmic growth of entanglement coming from the zero mode of the scalar.

Research Organization:
Princeton Univ., Princeton, NJ (United States). Princeton Center for Theoretical Science
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0016244
OSTI ID:
1357775
Journal Information:
Journal of High Energy Physics (Online), Vol. 2016, Issue 11; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 58 works
Citation information provided by
Web of Science

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Cited By (20)

Entanglement evolution in Lifshitz-type scalar theories journal January 2019
Exploring the membrane theory of entanglement dynamics journal February 2020
Entanglement dynamics after a quench in Ising field theory: a branch point twist field approach journal December 2019
Entanglement and thermodynamics after a quantum quench in integrable systems journal July 2017
Exact solution for the quench dynamics of a nested integrable system journal August 2017
Rényi entropies after releasing the Néel state in the XXZ spin-chain journal November 2017
Entanglement and diagonal entropies after a quench with no pair structure journal June 2018
Rényi entropies of generic thermodynamic macrostates in integrable systems journal August 2018
Entanglement Hamiltonians in 1D free lattice models after a global quantum quench journal December 2019
Entanglement evolution and generalised hydrodynamics: noninteracting systems journal August 2018
Entanglement production in bosonic systems: Linear and logarithmic growth journal March 2018
Dynamical manifestation of the Gibbs paradox after a quantum quench journal November 2018
Entanglement front generated by an impurity traveling in an isolated many-body quantum system journal February 2020
Towards a generalized hydrodynamics description of Rényi entropies in integrable systems journal January 2019
Exact solution for the quench dynamics of a nested integrable system text January 2017
On the Time Dependence of Holographic Complexity text January 2017
Dynamical manifestation of Gibbs paradox after a quantum quench text January 2018
Entanglement evolution and generalised hydrodynamics: noninteracting systems text January 2018
Entanglement evolution and generalised hydrodynamics: interacting integrable systems text January 2019
Exploring the Membrane Theory of Entanglement Dynamics text January 2019