Non-equilibrium dynamics of the open quantum O(n)-model with non-Markovian noise: exact results

  title={Non-equilibrium dynamics of the open quantum O(n)-model with non-Markovian noise: exact results},
  author={Sascha Wald and Malte Henkel and Andrea Gambassi},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
The collective and purely relaxational dynamics of quantum many-body systems after a quench at temperature T = 0, from a disordered state to various phases is studied through the exact solution of the quantum Langevin equation of the spherical and the O(n)-model in the limit n → ∞. The stationary state of the quantum dynamics is shown to be a non-equilibrium state. The quantum spherical and the quantum O(n)-model for n → ∞ are in the same dynamical universality class. The long-time behaviour of… 

Many-body constraints and nonthermal behavior in one-dimensional open systems with Haldane exclusion statistics

We study the impact of the inter-level energy constraints imposed by Haldane exclusion statistics on energy relaxation processes in one-dimensional systems coupled to a bosonic bath. By formulating a

Quantum dynamics far from equilibrium: a case study in the spherical model

The application of quantum Langevin equations for the study of non-equilibrium relaxations is illustrated in the exactly solved quantum spherical model. Tutorial sections on the physical background



Lindblad dynamics of the quantum spherical model

The purely relaxational non-equilibrium dynamics of the quantum spherical model as described through a Lindblad equation is analysed. It is shown that the phenomenological requirements of reproducing

Aging and coarsening in isolated quantum systems after a quench: Exact results for the quantum O(N) model with N → ∞.

The nonequilibrium dynamics of an isolated quantum system after a sudden quench to a dynamical critical point is expected to be characterized by scaling and universal exponents due to the absence of

Universal postquench coarsening and aging at a quantum critical point

The non-equilibrium dynamics of a system that is located in the vicinity of a quantum critical point is affected by the critical slowing down of order-parameter correlations with the potential for


We study the real-time dynamics of quantum models with long-range interactions coupled to a heat-bath within the closed-time path-integral formalism. We show that quantum fluctuations depress the

Local scale-invariance and ageing in noisy systems

Lindblad dynamics of a quantum spherical spin

The coherent quantum dynamics of a single bosonic spin variable, subject to a constraint derived from the quantum spherical model of a ferromagnet, and coupled to an external heat bath, is studied

Quenched dynamics of classical isolated systems: the spherical spin model with two-body random interactions or the Neumann integrable model

We study the Hamiltonian dynamics of the spherical spin model with fully-connected two-body random interactions. In the statistical physics framework, the potential energy is of the so-called p  =  2

Equilibration and coarsening in the quantum O(N) model at infinite N

The quantum O(N) model in the infinite $N$ limit is a paradigm for symmetry-breaking. Qualitatively, its phase diagram is an excellent guide to the equilibrium physics for more realistic values of

Dynamics of ferromagnets: Langevin approach to the mean spherical model

Formal similarities between the Hamiltonian of a chain of harmonic oscillators and the effective Hamiltonian of the mean spherical model are exploited by introducing a ’’white noise’’ Langevin

Dynamical quantum phase transitions: a review

  • M. Heyl
  • Physics
    Reports on progress in physics. Physical Society
  • 2018
This review provides a pedagogical introduction to the theory of dynamical quantum phase transitions as phase transitions in time with physical quantities becoming nonanalytic at critical times.