Easy Access to Energy Fluctuations in Nonequilibrium Quantum Many-Body Systems

Nonequilibrium Relativistic Quantum Many-Body Theory

Geometric phase contribution to quantum nonequilibrium many-body dynamics.

We study the influence of geometry of quantum systems underlying space of states on its quantum many-body dynamics. We observe an interplay between dynamical and topological ingredients of quantum nonequilibrium dynamics revealed by the geometrical structure of the quantum space of states. As a primary example we use the anisotropic XY ring in a transverse magnetic field with an additional time...

Density fluctuations in many-body systems

The characterization of density fluctuations in systems of interacting particles is of fundamental importance in the physical sciences. We present a formalism for studying local density fluctuations in two special subvolumes ~centered around either a reference particle or some arbitrary point in the system! termed particle and void regions, respectively. We present formal expressions for the pr...

Energy transmutation in nonequilibrium quantum systems

We investigate the particle and heat transport in quantum junctions with the geometry of star graphs. The system is in a nonequilibrium steady state, characterized by the different temperatures and chemical potentials of the heat reservoirs connected to the edges of the graph. We explore the Landauer-Büttiker state and its orbit under parity and time reversal transformations. Both particle numb...

Eigenvalues and Low Energy Eigenvectors of Quantum Many - Body Systems

I first give an overview of the thesis and Matrix Product States (MPS) representation of quantum spin systems on a line with an improvement on the notation. The rest of this thesis is divided into two parts. The first part is devoted to eigenvalues of quantum many-body systems (QMBS). I introduce Isotropic Entanglement (IE) and show that the distribution of QMBS with generic interactions can be...