Emergent kinetic constraints, ergodicity breaking, and cooperative dynamics in noisy quantum systems

Article, Preprint English OPEN
Everest, B. ; Marcuzzi, M. ; Garrahan, Juan P. ; Lesanovsky, I. (2016)
  • Publisher: American Physical Society
  • Related identifiers: doi: 10.1103/PhysRevE.94.052108
  • Subject: Condensed Matter - Statistical Mechanics | Physics - Atomic Physics

Kinetically constrained spin systems play an important role in understanding key properties of the dynamics of slowly relaxing materials, such as glasses. Recent experimental studies have revealed that manifest kinetic constraints govern the evolution of strongly interacting gases of highly excited atoms in a noisy environment. Motivated by this development we explore which types of kinetically constrained dynamics can generally emerge in quantum spin systems subject to strong noise and show how, in this framework, constraints are accompanied by conservation laws. We discuss an experimentally realizable case of a lattice gas, where the interplay between those and the geometry of the lattice leads to collective behavior and time-scale separation even at infinite temperature. This is in contrast to models of glass-forming substances which typically rely on low temperatures and the consequent suppression of thermal activation.
  • References (55)
    55 references, page 1 of 6

    [1] L. C. Struik, Physical Aging in Amorphous Polymers and Other Materials (Elsevier, Amsterdam, 1978).

    [2] S. Ciliberto, in Slow Relaxations and Nonequilibrium Dynamics in Condensed Matter (Springer, Berlin, 2003), Vol. 77, p. 555.

    [3] K. Binder and W. Kob, Glassy Materials and Disordered Solids: An Introduction to Their Statistical Mechanics (World Scientific, Singapore, 2005).

    [4] P. S. F. Ritort, Adv. Phys. 52, 219 (2003).

    [5] L. Peliti, Statistical Mechanics in a Nutshell (Princeton University Press, Princeton, NJ, 2011).

    [6] G. Biroli and J. P. Garrahan, J. Chem. Phys. 138, 12A301 (2013).

    [7] L. Berthier and M. D. Ediger, Phys. Today 69, 40 (2016).

    [8] J. P. Garrahan and D. Chandler, Phys. Rev. Lett. 89, 035704 (2002).

    [9] J. P. Garrahan, R. L. Jack, V. Lecomte, E. Pitard, K. van Duijvendijk, and F. van Wijland, Phys. Rev. Lett. 98, 195702 (2007).

    [10] J. P. Garrahan, R. L. Jack, V. Lecomte, E. Pitard, K. van Duijvendijk, and F. van Wijland, J. Phys. A: Math. Theor. 42, 075007 (2009).

  • Related Research Results (1)
    Inferred
    Physics and Astronomy (2012)
    43%
  • Metrics
    No metrics available
Share - Bookmark