Hilbert-Glass Transition: New Universality of Temperature-Tuned Many-Body Dynamical Quantum Criticality

By D. Pekker, G. Refael, E. Altman, E. Demler, V. Oganesyan. 2013

184 citations recorded by the source corpus.

Conventional phase transitions are usually characterized by a change in a fundamental thermodynamic observable, e.g., in density when liquid changes to vapor. A theoretical study of a one-dimensional disordered quantum spin chain reveals a new class of quantum phase transitions that leave no such signatures and pins down their origin.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c7be3819d07465f5fb6583f06ede5890d448c52a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. V. Khemani
2. A. Nahum
3. D. Abanin
4. D. Huse
5. Matthew Fisher
6. Romain Vasseur
7. I. Bloch
8. Maksym Serbyn

In Condensed Matter Physics

1. V. Khemani
2. A. Nahum
3. D. Huse
4. Matthew Fisher
5. I. Bloch
6. Romain Vasseur
7. J. Imbrie
8. Tomaz Prosen

In Statistical and Nonlinear Physics

1. V. Khemani
2. A. Nahum
3. Tomaz Prosen
4. S. Gopalakrishnan
5. Romain Vasseur
6. Maksym Serbyn
7. I. Bloch
8. D. Huse

Citations in the corpus

• Local integrals of motion in many‐body localized systems (2016, methodology): “Moreover, it allows to access to the dynamical properties in the MBL phase adapting computational approaches originally designed for the ground-state physics, such as the strong disorder renormalization group exploited in [82] to construct approximate many-body eigenstates, and in [101, 102] to desc”
• Ergodicity breaking transition in finite disordered spin chains (2020, background): “This scenario predicts an eigenstate quantum phase transition from an ergodic to a nonergodic phase [36–39], the latter named many-body localization (MBL) [40–44].”
• Pre-thermal phases of matter protected by time-translation symmetry (2016, background): “43 we introduced a formal definition of time-translation symmetry-breaking in MBL systems in terms of eigenstates (two equivalent formulations of which we called TTSB-1 and TTSB-2.)”
• Avalanches and many-body resonances in many-body localized systems (2021, background): “[14] David Pekker, Gil Refael, Ehud Altman, Eugene Demler, and Vadim Oganesyan, “Hilbert-glass transition: New universality of temperature-tuned many-body dynamical quantum criticality,” Phys.”
• Random Quantum Circuits (2022, background): “This example is reminiscent of a ground state phase transition from a paramagnet to a symmetry-broken ferromagnet, although a closer analogy may be the eigenstate phase transition between spin-glass ordered and paramagnetic states in many-body localized systems (265, 266).”
• Colloquium : Many-body localization, thermalization, and entanglement (2018, methodology): “excited states (RSRG-X) uses an approximate succession of local unitary transformations to construct eigenstates of the system at all energies (Pekker et al., 2014).”
• Low-frequency conductivity in many-body localized systems (2015, background): “It is not presently clear whether or not the stretched-exponential effective interactions that occur at putative critical points within the MBL phase [9,14,20,21] substantially modify the above story.”
• Gapless Symmetry-Protected Topological Order (2017, background): “[86] David Pekker, Gil Refael, Ehud Altman, Eugene Dem-”
• Integrals of motion in the many-body localized phase (2014, background): “Many-body localization opens the interesting possibilities of protection of topological order at finite temperature or of phase transitions below the equilibrium lower critical dimension [18, 19, 20, 21, 22, 23]).”
• Operator Spreading and the Emergence of Dissipative Hydrodynamics under Unitary Evolution with Conservation Laws (2017, background): “On the theory side, research in the field of many-body localization (MBL) [4–9] has revealed the existence of classes of generically interacting systems that do not obey quantum statistical mechanics, and understanding the nature of different MBL phases [10,11] and the transition(s) between MBL and ”