Quantum critical states and phase transitions in the presence of non-equilibrium noise

Emanuele G. Dalla Torre; Eugene Demler; Thierry Giamarchi; Ehud Altman

doi:10.1038/nphys1754

Quantum critical states and phase transitions in the presence of non-equilibrium noise

Emanuele G. Dalla Torre, Eugene Demler, Thierry Giamarchi, Ehud Altman

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136 Scopus citations

Abstract

Quantum critical points are characterized by scale-invariant correlations and therefore by long-range entanglement. As such, they present fascinating examples of quantum states of matter and their study is an important theme in modern physics. However, little is known about the fate of quantum criticality under non-equilibrium conditions. Here we investigate the effect of external noise sources on quantum critical points. It is natural to expect that noise will have a similar effect to finite temperature, that is, destroying the subtle correlations underlying the quantum critical behaviour. Surprisingly, we find that the ubiquitous 1/f noise does preserve the critical correlations. The emergent states show an intriguing interplay of intrinsic quantum critical and external-noise-driven fluctuations. We illustrate this general phenomenon with specific examples describing solid-state and ultracold-atoms systems. Moreover, our approach shows that genuine quantum phase transitions can exist even under non-equilibrium conditions.

Original language	English
Pages (from-to)	806-810
Number of pages	5
Journal	Nature Physics
Volume	6
Issue number	10
DOIs	https://doi.org/10.1038/nphys1754
State	Published - Oct 2010
Externally published	Yes

Bibliographical note

Funding Information:
We thank E. Berg, S. Huber, S. Kivelson, A. Lamacraft, K. Moler and E. Zeldov for stimulating discussions. This work was partially supported by the US–Israel BSF (E.A. and E.D.), ISF (E.A.) and Swiss SNF under MaNEP and division II (T.G.). E.D. acknowledges support from NSF DMR-0705472, CUA, DARPA-OLE and AFOSR-MURI. E.G.D.T. is supported by the Adams Fellowship Program of the Israel Academy of Sciences and Humanities.

Funding

We thank E. Berg, S. Huber, S. Kivelson, A. Lamacraft, K. Moler and E. Zeldov for stimulating discussions. This work was partially supported by the US–Israel BSF (E.A. and E.D.), ISF (E.A.) and Swiss SNF under MaNEP and division II (T.G.). E.D. acknowledges support from NSF DMR-0705472, CUA, DARPA-OLE and AFOSR-MURI. E.G.D.T. is supported by the Adams Fellowship Program of the Israel Academy of Sciences and Humanities.

Funders	Funder number
AFOSR-MURI
DARPA-OLE
US-Israel BSF
National Science Foundation	DMR-0705472
Canadian Urological Association
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
Israel Academy of Sciences and Humanities
Israel Science Foundation

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abstract = "Quantum critical points are characterized by scale-invariant correlations and therefore by long-range entanglement. As such, they present fascinating examples of quantum states of matter and their study is an important theme in modern physics. However, little is known about the fate of quantum criticality under non-equilibrium conditions. Here we investigate the effect of external noise sources on quantum critical points. It is natural to expect that noise will have a similar effect to finite temperature, that is, destroying the subtle correlations underlying the quantum critical behaviour. Surprisingly, we find that the ubiquitous 1/f noise does preserve the critical correlations. The emergent states show an intriguing interplay of intrinsic quantum critical and external-noise-driven fluctuations. We illustrate this general phenomenon with specific examples describing solid-state and ultracold-atoms systems. Moreover, our approach shows that genuine quantum phase transitions can exist even under non-equilibrium conditions.",

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note = "Funding Information: We thank E. Berg, S. Huber, S. Kivelson, A. Lamacraft, K. Moler and E. Zeldov for stimulating discussions. This work was partially supported by the US–Israel BSF (E.A. and E.D.), ISF (E.A.) and Swiss SNF under MaNEP and division II (T.G.). E.D. acknowledges support from NSF DMR-0705472, CUA, DARPA-OLE and AFOSR-MURI. E.G.D.T. is supported by the Adams Fellowship Program of the Israel Academy of Sciences and Humanities.",

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Quantum critical states and phase transitions in the presence of non-equilibrium noise

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