Influence Matrix Approach to Many-Body Floquet Dynamics

Many-body approach to the dynamics of batch learning

Using the cavity method and diagrammatic methods, we model the dynamics of batch learning of restricted sets of examples, widely applicable to general learning cost functions, and fully taking into account the temporal correlations introduced by the recycling of the examples. The approach is illustrated using the Adaline rule learning teacher-generated or random examples.

Time-dependent coupled-cluster approach to many-body quantum dynamics

The curse of dimensionality severely limits the application of standard basis-expansion methods for solving the time-dependent Schrd̈inger equation: the number of discrete degrees of freedom grows combinatorially with the number of grid points or single-particle basis functions. We therefore propose to use a time-dependent formulation of the highly successful coupledcluster (CC) method used in e...

Chiral Floquet Phases of Many-Body Localized Bosons

Hoi Chun Po, Lukasz Fidkowski, Takahiro Morimoto, Andrew C. Potter, and Ashvin Vishwanath Department of Physics, University of California, Berkeley, California 94720, USA Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794, USA Department of Physics, University of Texas at Austin,...

Many–Body Aspects of Approach to Equilibrium

In 1956 Mark Kac [5] invented a microscopic, linear model, from which the nonlinear Boltzmann equation describing the evolution of the velocity distribution for a system of colliding particles could be rigorously derived. Consider N particles in one dimension that interact through random collisions. We consider the spatially homogeneous case only, i.e., the case where the particles are uniforml...

Periodic driving of a coherent quantum many body system and relaxation to the Floquet diagonal ensemble