Dynamical Quantum Phase Transitions from Quantum Optics Perspective |
| J. Zakrzewskia, b
aInstytut Fizyki Teoretycznej, Wydział Fizyki, Astronomii i Informatyki Stosowanej, Uniwersytet Jagielloński, Profesora Stanisława Łojasiewicza 11, PL-30-348 Kraków, Poland bMark Kac Complex Systems Research Center, Uniwersytet Jagielloński, Kraków, Poland |
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| In this work dedicated to Professor Iwo Białynicki-Birula on the occasion of his 90th birthday, I attempts to show that dynamical quantum phase transitions observed as singularities in the Loschmidt rate dynamics bear a close resemblance to the standard Rabi oscillations known from the dynamics of two-level systems. For some many-body systems, this analogy may go even further, and the behaviour observed for example transverse Ising chain can be directly mapped to such simple dynamics. A simple link between Loschmidt echo singularities and quantum scars is also suggested. |
DOI:10.12693/APhysPolA.143.179 topics: phase transitions, Loschmidt echo singularities, Rabi oscillations, quantum scars |