Quantum trajectories and open many-body quantum systems

AJ Daley - Advances in Physics, 2014 - Taylor & Francis
The study of open quantum systems–microscopic systems exhibiting quantum coherence
that are coupled to their environment–has become increasingly important in the past years …

Cold atoms in cavity-generated dynamical optical potentials

H Ritsch, P Domokos, F Brennecke, T Esslinger - Reviews of Modern Physics, 2013 - APS
This is a review of state-of-the-art theory and experiment of the motion of cold and ultracold
atoms coupled to the radiation field within a high-finesse optical resonator in the dispersive …

Quantum optics with ultracold quantum gases: towards the full quantum regime of the light–matter interaction

IB Mekhov, H Ritsch - Journal of Physics B: Atomic, Molecular …, 2012 - iopscience.iop.org
Although the study of ultracold quantum gases trapped by light is a prominent direction of
modern research, the quantum properties of light were widely neglected in this field …

Numerically exact treatment of many-body self-organization in a cavity

CM Halati, A Sheikhan, H Ritsch, C Kollath - Physical Review Letters, 2020 - APS
We investigate the full quantum evolution of ultracold interacting bosonic atoms on a chain
and coupled to an optical cavity. Extending the time-dependent matrix product state …

Cavity-induced chiral states of fermionic quantum gases

A Sheikhan, F Brennecke, C Kollath - Physical Review A, 2016 - APS
We investigate ultracold fermions placed into an optical cavity and subjected to optical
lattices which confine the atoms to ladder structures. A transverse running-wave laser beam …

Unraveling the quantum nature of atomic self-ordering in a ring cavity

S Ostermann, W Niedenzu, H Ritsch - Physical Review Letters, 2020 - APS
Atomic self-ordering to a crystalline phase in optical resonators is a consequence of the
intriguing nonlinear dynamics of strongly coupled atom motion and photons. Generally the …

Cavity-induced artificial gauge field in a Bose-Hubbard ladder

CM Halati, A Sheikhan, C Kollath - Physical Review A, 2017 - APS
We consider theoretically ultracold interacting bosonic atoms confined to quasi-one-
dimensional ladder structures formed by optical lattices and coupled to the field of an optical …

Cavity-induced superconducting and charge-density-wave states

A Sheikhan, C Kollath - Physical Review A, 2019 - APS
We propose two experimental setups for fermionic atoms in a high-finesse optical resonator
in which either a superconducting state with s-wave symmetry of the pairs or a 4 k F charge …

Theoretical methods to treat a single dissipative bosonic mode coupled globally to an interacting many-body system

CM Halati, A Sheikhan, C Kollath - Physical Review Research, 2020 - APS
We present two approaches capable of describing the dynamics of an interacting many-
body system on a lattice coupled globally to a dissipative bosonic mode. Physical …

The Monte Carlo wave-function method: A robust adaptive algorithm and a study in convergence

M Kornyik, A Vukics - Computer Physics Communications, 2019 - Elsevier
We present a stepwise adaptive-timestep version of the Quantum Jump (Monte Carlo wave-
function) algorithm. Our method has proved to remain robust even for problems where the …