English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Complexity and entanglement for thermofield double states

Chapman, S., Eisert, J., Hackl, L., Heller, M. P., Jefferson., R., Marrochio, H., et al. (2019). Complexity and entanglement for thermofield double states. SciPost Physics, 6(3): 034. doi:10.21468/SciPostPhys.6.3.034.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/21.11116/0000-0002-6927-D Version Permalink: http://hdl.handle.net/21.11116/0000-0003-53F7-9
Genre: Journal Article

Files

show Files
hide Files
:
1810.05151.pdf (Preprint), 6MB
Name:
1810.05151.pdf
Description:
File downloaded from arXiv at 2018-10-30 11:17
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
:
SciPostPhys_6_3_034.pdf (Publisher version), 6MB
Name:
SciPostPhys_6_3_034.pdf
Description:
Open Access
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-

Locators

show

Creators

show
hide
 Creators:
Chapman, Shira, Author
Eisert, Jens, Author
Hackl, Lucas, Author
Heller, Michal P., Author
Jefferson., Ro1, Author              
Marrochio, Hugo, Author
Myers, Robert C., Author
Affiliations:
1Gravity, Quantum Fields and Information, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_2477692              

Content

show
hide
Free keywords: High Energy Physics - Theory, hep-th, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech,Quantum Physics, quant-ph
 Abstract: Motivated by holographic complexity proposals as novel probes of black hole spacetimes, we explore circuit complexity for thermofield double (TFD) states in free scalar quantum field theories using the Nielsen approach. For TFD states at $t = 0$, we show that the complexity of formation is proportional to the thermodynamic entropy, in qualitative agreement with holographic complexity proposals. For TFD states at $t>0$, we demonstrate that the complexity evolves in time and saturates after a time of the order of the inverse temperature. The latter feature, which is in contrast with the results of holographic proposals, is due to the Gaussian nature of the TFD state of the free bosonic QFT. A novel technical aspect of our work is framing complexity calculations in the language of covariance matrices and the associated symplectic transformations, which provide a natural language for dealing with Gaussian states. Furthermore, for free QFTs in 1+1 dimension, we compare the dynamics of circuit complexity with the time dependence of the entanglement entropy for simple bipartitions of TFDs. We relate our results for the entanglement entropy to previous studies on non-equilibrium entanglement evolution following quenches. We also present a new analytic derivation of a logarithmic contribution due to the zero momentum mode in the limit of vanishing mass for a subsystem containing a single degree of freedom on each side of the TFD and argue why a similar logarithmic growth should be present for larger subsystems.

Details

show
hide
Language(s):
 Dates: 2018-10-112019
 Publication Status: Published in print
 Pages: 88+30 pages, 31 figures, 7 appendices
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1810.05151
URI: http://arxiv.org/abs/1810.05151
DOI: 10.21468/SciPostPhys.6.3.034
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: SciPost Physics
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 6 (3) Sequence Number: 034 Start / End Page: - Identifier: -