Quantum Biroli-Mézard model: Glass transition and superfluidity in a quantum lattice glass model

Foini, Laura; Semerjian, Guilhem; Zamponi, Francesco

doi:10.1103/physrevb.83.094513

Cited by 20 publications

(39 citation statements)

References 68 publications

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“…In particular, we estimated the glass transition line and found that, as already reported in [27][28][29][30], quantum fluctuations promote glass formation. We critically discussed some issues related to our approach, in particular the role of exchange and a technical problem related to the kinetic energy.…”

Section: Discussionmentioning

confidence: 80%

“…Based on the combination of the present study and previous ones [27,28], we conjectured a phase diagram of dense metastable Helium 4 which is reported in Fig. 3 (left panel).…”

Section: Discussionmentioning

confidence: 83%

“…For the classical LJ potential, T K increases with density, therefore the transition line in the (ρ, ) plane is re-entrant. This is a trivial classical effect and has nothing to do with the re-entrance found in [27,28,30]. The important point, for the LJ case, is that quantum corrections increase the value of T K , thereby promoting glass formation as stated in [27,28,30].…”

Section: Resultsmentioning

confidence: 90%

“…3 (left panel) we report a conjectural phase diagram for metastable Helium 4 in the (ρ, T ) plane, as it emerges by the combination of Refs. [27][28][29] and the present study. The purple line is the glass transition line obtained in the present work within the first order semiclassical expansion.…”

Section: A First Order Superfluid Transition: the Heterogeneous Supermentioning

confidence: 90%

“…Color online) (Left panel) A conjectural phase diagram for metastable Helium 4 as it emerges from the combination of Refs [27][28][29]. and the present study.…”

mentioning

confidence: 93%

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A Tentative Replica Theory of Glassy Helium 4

Biroli¹,

Zamponi²

2012

J Low Temp Phys

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We develop a quantum replica method for interacting particle systems and use it to estimate the location of the glass transition line in Helium 4. Although we do not fully succeed in taking into account all quantum effects, we make a thorough semiclassical analysis. We confirm previous suggestions that quantum fluctuations promote the formation of the glass and give a quantitative estimate of this effect at high density. Finally, we discuss the difficulties that are met when one tries to extend the calculation to the region of low densities and low temperatures, where quantum effects are strong and the semiclassical expansion breaks down.

show abstract

Section: Discussionmentioning

confidence: 80%

“…Based on the combination of the present study and previous ones [27,28], we conjectured a phase diagram of dense metastable Helium 4 which is reported in Fig. 3 (left panel).…”

Section: Discussionmentioning

confidence: 83%

Section: Resultsmentioning

confidence: 90%

Section: A First Order Superfluid Transition: the Heterogeneous Supermentioning

confidence: 90%

“…Color online) (Left panel) A conjectural phase diagram for metastable Helium 4 as it emerges from the combination of Refs [27][28][29]. and the present study.…”

mentioning

confidence: 93%

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A Tentative Replica Theory of Glassy Helium 4

Biroli¹,

Zamponi²

2012

J Low Temp Phys

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The quantum adiabatic algorithm applied to random optimization problems: The quantum spin glass perspective

et al. 2013

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Among various algorithms designed to exploit the specific properties of quantum computers with respect to classical ones, the quantum adiabatic algorithm is a versatile proposition to find the minimal value of an arbitrary cost function (ground state energy). Random optimization problems provide a natural testbed to compare its efficiency with that of classical algorithms. These problems correspond to mean field spin glasses that have been extensively studied in the classical case. This paper reviews recent analytical works that extended these studies to incorporate the effect of quantum fluctuations, and presents also some original results in this direction.

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Quantum Phenomena in Structural Glasses: The Intrinsic Origin of Electronic and Cryogenic Anomalies

Lubchenko

2011

J. Phys. Chem. Lett.

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The structural glass transition is often regarded as purely a problem of the classical theory of liquids. The dynamics of electrons enters only implicitly, through the interactions between ionic cores or molecules. Likewise, zero-point effects tied to the atomic masses hardly affect the typical barriers for liquid rearrangements. Yet, glasses do exhibit many quantum phenomenaelectronic, optical, and cryogenic peculiarities that seem to have universal characteristics. These anomalies of the glassy state are uncommon or strongly system dependent in crystals and amorphous solids not made by a quasi-equilibrium quench of a melt. These clearly quantum phenomena include midgap electronic states in amorphous semiconductors, the two-level systems, and the Boson peak. Here, we discuss how these quantum phenomena found in glasses are not merely consequences of any kind of disorder but have universal characteristics stemming from the structural dynamics inherent in the glass transition itself. The quantum dynamics at cryogenic temperatures and electronic dynamics are related to the transition states for relaxational motions above the glass transition temperature, which are partially frozen when the sample is quenched.

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Quantum Biroli-Mézard model: Glass transition and superfluidity in a quantum lattice glass model

Cited by 20 publications

References 68 publications

A Tentative Replica Theory of Glassy Helium 4

A Tentative Replica Theory of Glassy Helium 4

The quantum adiabatic algorithm applied to random optimization problems: The quantum spin glass perspective

Quantum Phenomena in Structural Glasses: The Intrinsic Origin of Electronic and Cryogenic Anomalies

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