Dynamics of a quantum phase transition and relaxation to a steady state

By J. Dziarmaga. 2009

561 citations recorded by the source corpus.

We review recent theoretical work on two closely related issues: excitation of an isolated quantum condensed matter system driven adiabatically across a continuous quantum phase transition or a gapless phase, and apparent relaxation of an excited system after a sudden quench of a parameter in its Hamiltonian. Accordingly, the review is divided into two parts. The first part revolves around a quantum version of the Kibble–Zurek mechanism including also phenomena that go beyond this simple paradigm. What they have in common is that excitation of a gapless many-body system scales with a power of the driving rate. The second part attempts a systematic presentation of recent results and conjectures on apparent relaxation of a pure state of an isolated quantum many-body system after its excitation by a sudden quench. This research is motivated in part by recent experimental developments in the physics of ultracold atoms with potential applications in the adiabatic quantum state preparation and quantum computation.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/7059ab9d36c4b54b4f9818908aa91a682ba253fb

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In Atomic and Molecular Physics, and Optics

1. F. Essler
2. M. Fagotti
3. N. Tsuji
4. M. Kollar
5. Martin Eckstein
6. H. Aoki
7. Masahito Ueda
8. T. Oka

Citations in the corpus

• Quench dynamics and relaxation in isolated integrable quantum spin chains (2016, background): “One example are ramps [115, 116], which are of interest in relation to the Kibble–Zurek mechanism [117].”
• Nonequilibrium dynamical mean-field theory and its applications (2013, background): “…particularly in the context of quantum “quench” problems (Barmettler et al., 2009; Calabrese and Cardy, 2006; Cassidyet al., 2011; Cazalilla, 2006; Dziarmaga, 2010; Eckstein and Kollar, 2008b; Ecksteinet al., 2009b; Kollathet al., 2007; Manmanaet al., 2007; Moeckel and Kehrein, 2008;…”
• Spinor Bose gases: Symmetries, magnetism, and quantum dynamics (2013, background): “Several reviews have summarized the explorations of the Kibble-Zurek mechanism in condensed-matter systems, both for thermal phase transitions (Arodz et al., 2003; Zurek, 1996) and, recently, for quantum phase transitions (Dziarmaga, 2010).”
• Colloquium: Nonequilibrium dynamics of closed interacting quantum systems (2010, unknown): “(Dziarmaga, 2010; Gritsev and Polkovnikov, 2010).”
• Scaling Behavior and Beyond Equilibrium in the Hexagonal Manganites (2012, background): “[47] J.”