Phase-space methods for simulating the dissipative many-body dynamics of collective spin systems
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 …
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
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 …
between neighboring lattice sites compete with alternating gain and loss processes. This …
Numerical representation of quantum states in the positive-P and Wigner representations
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 …
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 …
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
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 …
multitime averages of Heisenberg field operators. This task splits naturally in two. First, what …
Bright bichromatic entanglement and quantum dynamics of sum frequency generation
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 …
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 …
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 …
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
Simulation of conditional master equations is important to describe systems under
continuous measurement and for the design of control strategies in quantum systems. For …
continuous measurement and for the design of control strategies in quantum systems. For …
Superradiance of harmonic oscillators
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 …
quantum systems, has been typically studied in atomic ensembles. In this work we study the …