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Cited by 167

The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.

Mixed-State Evolution in the Presence of Gain and Loss

Open access
Brody, Dorje C., Graefe, Eva-Maria·2012·Physical Review Letters
DOI 10.1103/physrevlett.109.230405
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Abstract

A model is proposed that describes the evolution of a mixed state of a quantum system for which gain and loss of energy or amplitude are present. Properties of the model are worked out in detail. In particular, invariant subspaces of the space of density matrices corresponding to the fixed points of the dynamics are identified, and the existence of a transition between the phase in which gain and loss are balanced and the phase in which this balance is lost is illustrated in terms of the time average of observables. The model is extended to include a noise term that results from a uniform random perturbation generated by white noise. Numerical studies of example systems show the emergence of equilibrium states that suppress the phase transition.

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Metadata

Authors
Brody, D. C., & Graefe, E.-M.
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
2012-12-05
Volume
109
Issue
23
Pages
230405-230405
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
DOI
10.1103/physrevlett.109.230405
OpenAlex
W2169072335
Cited by
167
References
4
FWCI
3.16
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Mixed-State Evolution in the Presence of Gain and Loss. https://app.cochat.ai/papers/10.1103/physrevlett.109.230405
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Brody, D. C., & Graefe, E.-M. (2012). Mixed-State Evolution in the Presence of Gain and Loss. Physical Review Letters. https://doi.org/10.1103/physrevlett.109.230405

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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.