Phase-space methods for simulating the dissipative many-body dynamics of collective spin systems

J Huber, P Kirton, P Rabl - SciPost Physics, 2021 - scipost.org
We describe an efficient numerical method for simulating the dynamics and steady states of
collective spin systems in the presence of dephasing and decay. The method is based on …

Nonequilibrium magnetic phases in spin lattices with gain and loss

J Huber, P Kirton, P Rabl - Physical Review A, 2020 - APS
We study the magnetic phases of a nonequilibrium spin chain, where coherent interactions
between neighboring lattice sites compete with alternating gain and loss processes. This …

Numerical representation of quantum states in the positive-P and Wigner representations

MK Olsen, AS Bradley - Optics Communications, 2009 - Elsevier
Numerical stochastic integration is a powerful tool for the investigation of quantum dynamics
in interacting many-body systems. As with all numerical integration of differential equations …

Second quantization of open quantum systems in Liouville space

V Sukharnikov, S Chuchurka, A Benediktovitch… - Physical Review A, 2023 - APS
We present a theoretical framework based on second quantization in Liouville space to treat
open quantum systems. We consider an ensemble of identical quantum emitters …

Commuting Heisenberg operators as the quantum response problem: Time-normal averages in the truncated Wigner representation

B Berg, LI Plimak, A Polkovnikov, MK Olsen… - Physical Review A …, 2009 - APS
The applicability of the so-called truncated Wigner approximation (− W) is extended to
multitime averages of Heisenberg field operators. This task splits naturally in two. First, what …

Bright bichromatic entanglement and quantum dynamics of sum frequency generation

MK Olsen, AS Bradley - Physical Review A—Atomic, Molecular, and Optical …, 2008 - APS
We investigate the quantum properties of the well-known process of sum frequency
generation, showing that it is potentially a very useful source of nonclassical states of the …

Stochastic correction to the Maxwell-Bloch equations via the positive representation

J Stowasser, F Hitzelhammer, MA Schreiber… - Physical Review A, 2024 - APS
Focusing on two-level atoms, we apply the positive P representation to a full-wave mixed
bosonic and fermionic system of Jaynes-Cummings type and identify an advantageous …

Exact real-time dynamics of quantum spin systems using the positive-P representation

R Ng, ES Sørensen - Journal of Physics A: Mathematical and …, 2011 - iopscience.iop.org
We discuss a scheme for simulating the real-time quantum quench dynamics of interacting
quantum spin systems within the positive-P formalism. As model systems we study the …

Number-phase Wigner representation for scalable stochastic simulations of controlled quantum systems

MR Hush, ARR Carvalho, JJ Hope - … Review A—Atomic, Molecular, and Optical …, 2012 - APS
Simulation of conditional master equations is important to describe systems under
continuous measurement and for the design of control strategies in quantum systems. For …

Superradiance of harmonic oscillators

M Delanty, S Rebic, J Twamley - arxiv preprint arxiv:1107.5080, 2011 - arxiv.org
Superradiance, the enhanced collective emission of light from a coherent ensemble of
quantum systems, has been typically studied in atomic ensembles. In this work we study the …