Continuous dissipative phase transitions with or without symmetry breaking

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F21%3A73609998" target="_blank" >RIV/61989592:15310/21:73609998 - isvavai.cz</a>
Result on the web
<a href="https://iopscience.iop.org/article/10.1088/1367-2630/ac3db8/pdf" target="_blank" >https://iopscience.iop.org/article/10.1088/1367-2630/ac3db8/pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1367-2630/ac3db8" target="_blank" >10.1088/1367-2630/ac3db8</a>

Result language
angličtina
Original language name
Continuous dissipative phase transitions with or without symmetry breaking
Original language description
The paradigm of second-order phase transitions (PTs) induced by spontaneous symmetry breaking (SSB) in thermal and quantum systems is a pillar of modern physics that has been fruitfully applied to out-of-equilibrium open quantum systems. Dissipative phase transitions (DPTs) of second order are often connected with SSB, in close analogy with well-known thermal second-order PTs in closed quantum and classical systems. That is, a second-order DPT should disappear by preventing the occurrence of SSB. Here, we prove this statement to be wrong, showing that, surprisingly, SSB is not a necessary condition for the occurrence of second-order DPTs in out-of-equilibrium open quantum systems. We analytically prove this result using the Liouvillian theory of DPTs, and demonstrate this anomalous transition in a paradigmatic laser model, where we can arbitrarily remove SSB while retaining criticality, and on a Z (2)-symmetric model of a two-photon Kerr resonator. This new type of PT cannot be interpreted as a 'semiclassical' bifurcation, because, after the DPT, the system steady state remains unique.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10306 - Optics (including laser optics and quantum optics)

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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