Mechanism of dynamical phase transitions: The complex-time survival amplitude
Result description
Dynamical phase transitions are defined through nonanalyticities of the survival probability of an out-of-equilibrium time-evolving state at certain critical times. They ensue from zeros of the corresponding survival amplitude. By extending the time variable onto the complex domain, we formulate the complex-time survival amplitude. The complex zeros of this quantity near the time axis correspond, in the infinite-size limit, to nonanalytical points where the survival probability abruptly vanishes. Our results are numerically exemplified in the fully connected transverse-field Ising model, which displays a symmetry-broken phase delimited by an excited-state quantum phase transition. A detailed study of the behavior of the complex-time survival amplitude when the characteristics of the out-of-equilibrium protocol change is presented. The influence of the excited-state quantum phase transition is also put into context.
Keywords
amplitudesurvivalcomplex-timetransitionsphasedynamicalMechanism
The result's identifiers
Result code in IS VaVaI
Result on the web
https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=GBQEBlKj5v
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Mechanism of dynamical phase transitions: The complex-time survival amplitude
Original language description
Dynamical phase transitions are defined through nonanalyticities of the survival probability of an out-of-equilibrium time-evolving state at certain critical times. They ensue from zeros of the corresponding survival amplitude. By extending the time variable onto the complex domain, we formulate the complex-time survival amplitude. The complex zeros of this quantity near the time axis correspond, in the infinite-size limit, to nonanalytical points where the survival probability abruptly vanishes. Our results are numerically exemplified in the fully connected transverse-field Ising model, which displays a symmetry-broken phase delimited by an excited-state quantum phase transition. A detailed study of the behavior of the complex-time survival amplitude when the characteristics of the out-of-equilibrium protocol change is presented. The influence of the excited-state quantum phase transition is also put into context.
Czech name
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Czech description
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Classification
Type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences
Result continuities
Project
GA20-09998S: DYNAMICAL SIGNATURES OF EXCITED-STATE QUANTUM PHASE TRANSITIONS
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review B
ISSN
2469-9950
e-ISSN
2469-9969
Volume of the periodical
107
Issue of the periodical within the volume
9
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
094307
UT code for WoS article
000962280500005
EID of the result in the Scopus database
2-s2.0-85151252985
Basic information
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Physical sciences
Year of implementation
2023