Glassy quantum dynamics in translation invariant fracton models
By Abhinav Prem, Jeongwan Haah, R. Nandkishore. 2017
156 citations recorded by the source corpus.
We investigate relaxation in the recently discovered ``fracton'' models and discover that these models naturally host glassy quantum dynamics in the absence of quenched disorder. We begin with a discussion of ``type I'' fracton models, in the taxonomy of Vijay, Haah, and Fu. We demonstrate that in these systems, the mobility of charges is suppressed exponentially in the inverse temperature. We further demonstrate that when a zero-temperature type I fracton model is placed in contact with a finite-temperature heat bath, the approach to equilibrium is a logarithmic function of time over an exponentially wide window of time scales. Generalizing to the more complex ``type II'' fracton models, we find that the charges exhibit subdiffusion up to a relaxation time that diverges at low temperatures as a superexponential function of inverse temperature. This behavior is reminiscent of ``nearly localized'' disordered systems, but occurs with a translation invariant three-dimensional Hamiltonian. We also conjecture that fracton models with conserved charge may support a phase which is a thermal metal but a charge insulator.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/de57ec2412feddc4eeb5f88a4a5d0694df25660e
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Fracton hydrodynamics (2020, background): “[46] Abhinav Prem, Jeongwan Haah, and Rahul Nandkishore, “Glassy quantum dynamics in translation invariant fracton models,” Phys.”
- Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids (2016, background): “further comments are necessary. On the other hand, consider a delta function source for the scalar charge theory: @ i@ jE ij = (r) (21) The scaling of the electric eld now behaves as: E~ij(q) ˘ 1 q2 (22) Eij(r) = Z d3qE~ij(q)eiq~~r ˘ 1 r (23) so the electric eld in this case only falls o as 1=r, as ”
- Aspects of non-equilibrium in classical and quantum systems: Slow relaxation and glasses, dynamical large deviations, quantum non-ergodicity, and open quantum dynamics (2017, background): “Whether MBL can exist in translationally invariant systems is still debated [96, 71, 97, 98, 99, 100, 101, 102, 103, 104].”
- Localization from Hilbert space shattering: From theory to physical realizations (2020, background): “Nevertheless, it is believed that three dimensional ‘fractonic’ phases do thermalize at non-zero temperatures, such that they do not constitute ideal quantum memories at finite temperature [11, 12].”
- Fracton phases of matter (2020, background): “Fracton systems generically exhibit slow, glassy dynamics, such that the time to reach thermal equilibrium can become arbitrarily long at low temperatures, in a manifestation of “asymptotic localization” [12].”
- Localization in Fractonic Random Circuits (2018, methodology): “Insofar as energy conservation is essential to immobility of fractons under Hamiltonian dynamics [56], and random circuits do not conserve energy, one might have thought that random circuits with fractonic constraints would also thermalize, just like all other random circuit models that have been st”
- Ergodicity Breaking Arising from Hilbert Space Fragmentation in Dipole-Conserving Hamiltonians (2019, background): “[63] Abhinav Prem, Jeongwan Haah, and Rahul Nandkishore, “Glassy quantum dynamics in translation invariant fracton models,” Phys.”