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DYNAMICAL SIGNATURES OF EXCITED-STATE QUANTUM PHASE TRANSITIONS

Project goals

The project is focused on the theoretical research of Excited-State Quantum Phase Transitions (ESQPTs) and their dynamical signatures in various model systems of mutually interacting particles. We will study the effects of ESQPTs in the dynamics of systems with externally driven parameters and in the process of equilibration after a sudden jump of parameters (quantum quench). We will test the impact of ESQPTs on the dynamics of out-of-time-ordered correlators (OTOCs). Progress in these fields is important for basic research and for potential applications in quantum information protocols. Advance of quantum simulators opens possibilities for experimental testing.

Keywords

excited-state-quantum-phase-transitionsmany-body systemsadiabatic drivingcounterdiabatic drivingquantum quenchout-of-time-ordered correlators

Public support

  • Provider

    Czech Science Foundation

  • Programme

    Standard projects

  • Call for proposals

    SGA0202000001

  • Main participants

    Univerzita Karlova / Matematicko-fyzikální fakulta

  • Contest type

    VS - Public tender

  • Contract ID

    20-09998S

Alternative language

  • Project name in Czech

    DYNAMICKÉ PROJEVY KVANTOVÝCH FÁZOVÝCH PŘECHODŮ PRO EXCITOVANÉ STAVY

  • Annotation in Czech

    Projekt je zaměřen na teoretický výzkum kvantových fázových přechodů excitovaných stavů (ESQPT) a jejich dynamických projevů v různých modelových systémech vzájemně interagujících částic. Budeme studovat efekty ESQPT v dynamice systémů s externě vedenými parametry a v procesu dosažení rovnováhy po náhlém skoku parametrů ("quantum quench"). Budeme testovat vliv ESQPT na dynamiku "out-of-time-ordered" korelátorů (OTOC). Pokrok v těchto oblastech je důležitý pro základní výzkum a pro potenciální aplikace v kvantových informačních protokolech. Rozvoj kvantových simulátorů otvírá možnosti experimentálního testování.

Scientific branches

  • R&D category

    ZV - Basic research

  • OECD FORD - main branch

    10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

  • OECD FORD - secondary branch

  • OECD FORD - another secondary branch

  • BE - Theoretical physics

Completed project evaluation

  • Provider evaluation

    V - Vynikající výsledky projektu (s mezinárodním významem atd.)

  • Project results evaluation

    New methods for control of quantum systems were proposed within the project, thus accomplishing its goals. The results were presented in 11 publications, of those 1 in PRL and 1 overview paper with more than 50 citations already. The project also managed to efficiently employ students.

Solution timeline

  • Realization period - beginning

    Jan 1, 2020

  • Realization period - end

    Jun 30, 2023

  • Project status

    U - Finished project

  • Latest support payment

    Apr 1, 2023

Data delivery to CEP

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

  • Data delivery code

    CEP24-GA0-GA-U

  • Data delivery date

    May 21, 2024

Finance

  • Total approved costs

    8,749 thou. CZK

  • Public financial support

    8,049 thou. CZK

  • Other public sources

    525 thou. CZK

  • Non public and foreign sources

    0 thou. CZK

Basic information

Recognised costs

8 749 CZK thou.

Public support

8 049 CZK thou.

91%


Provider

Czech Science Foundation

OECD FORD

Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Solution period

01. 01. 2020 - 30. 06. 2023