dc.contributor.author
Chapman, Shira
dc.contributor.author
Eisert, Jens
dc.contributor.author
Hackl, Lucas
dc.contributor.author
Heller, Michal P.
dc.contributor.author
Jefferson, Ro
dc.contributor.author
Marrochio, Hugo
dc.contributor.author
Myers, Robert C.
dc.date.accessioned
2019-10-21T09:18:16Z
dc.date.available
2019-10-21T09:18:16Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/25754
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-25515
dc.description.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.
en
dc.format.extent
105 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
quantum field theory
en
dc.subject
thermofield double states
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::530 Physik::539 Moderne Physik
dc.title
Complexity and entanglement for thermofield double states
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.articlenumber
034
dcterms.bibliographicCitation.doi
10.21468/SciPostPhys.6.3.034
dcterms.bibliographicCitation.journaltitle
SciPost physics
dcterms.bibliographicCitation.volume
6
dcterms.bibliographicCitation.url
https://doi.org/10.21468/SciPostPhys.6.3.034
refubium.affiliation
Physik
refubium.affiliation.other
Institut für Theoretische Physik
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
2542-4653