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Phenomenology of first-order dark-state phase transitions

Roscher, Dietrich and Diehl, Sebastian and Buchhold, Michael (2018) Phenomenology of first-order dark-state phase transitions. Physical Review A, 98 (6). Art. No. 062117. ISSN 2469-9926.

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Dark states are stationary states of a dissipative, Lindblad-type time evolution with zero von Neumann entropy, therefore representing examples of pure steady states. Nonequilibrium dynamics featuring a dark state recently gained a lot of attraction since their implementation in the context of driven-open quantum systems represents a viable possibility to engineer unique, pure states. Inspired by recent experimental progress with ultracold Rydberg ensembles, we analyze a driven many-body spin system, which displays a mean-field bistability between a dark steady state and a mixed steady state. As a function of the driving strength one observes a discontinuous phase transition that connects the zero entropy (dark) state with a finite entropy (mixed) state. The transition is characterized by a jump of the von Neumann entropy from zero to a finite value, which is of genuine nonequilibrium character. We analyze the relevant long wavelength fluctuations driving this transition by means of the renormalization group. This allows us to approach the nonequilibrium dark-state transition and identify similarities and clear differences to common, equilibrium phase transitions, to establish the phenomenology for a first-order dark-state phase transition, and to relate it to the dynamics in driven dissipative Rydberg ensembles.

Item Type:Article
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URLURL TypeDescription Paper
Buchhold, Michael0000-0001-5194-9388
Additional Information:© 2018 American Physical Society. (Received 10 April 2018; revised manuscript received 2 July 2018; published 26 December 2018) We thank B. Ladewig for fruitful discussions. S.D. and D.R. acknowledge support by the German Research Foundation (DFG) through the Institutional Strategy of the University of Cologne within the German Excellence Initiative (ZUK 81) and S.D. support by the European Research Council via ERC Grant Agreement No. 647434 (DOQS). D.R. is supported, in part, by the NSERC of Canada. M.B. acknowledges support from the Alexander von Humboldt foundation.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft (DFG)UNSPECIFIED
Universität zu KölnZUK 81
European Research Council (ERC)647434
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Alexander von Humboldt FoundationUNSPECIFIED
Issue or Number:6
Record Number:CaltechAUTHORS:20190102-092233550
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:91973
Deposited By: George Porter
Deposited On:02 Jan 2019 19:48
Last Modified:04 Jun 2020 10:14

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