Dirac open quantum system dynamics: formulations and simulations

Abstract

We present an open system interaction formalism for the Dirac equation. Overcoming a complexity bottleneck of alternative formulations, our framework enables efficient numerical simulations (utilizing a typical desktop) of relativistic dynamics within the von Neumann density matrix and Wigner phase space descriptions. Employing these instruments, we gain important insights into the effect of quantum dephasing for relativistic systems in many branches of physics. In particular, the conditions for robustness of Majorana spinors against dephasing are established. Using the Klein paradox and tunneling as examples, we show that quantum dephasing does not suppress negative energy particle generation. Hence, the Klein dynamics is also robust to dephasing.

References in corpus (32)

• Non-Abelian Anyons and Topological Quantum Computation
• Chiral tunneling and the Klein paradox in graphene
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Experimental discovery of Weyl semimetal TaAs
• Quantum many-body systems out of equilibrium
• Quantum interference and Klein tunneling in graphene heterojunctions
• Exponential Protection of Zero Modes in Majorana Islands
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• A Straightforward Introduction to Continuous Quantum Measurement
• Quantum Darwinism
• Hourglass Fermions
• Relativistic Brownian Motion
• Zitterbewegung of electronic wave packets in semiconductor nanostructures
• Observing Zitterbewegung in Ultracold Atoms
• Quasiparticle interference of the Fermi arcs and surface-bulk connectivity of a Weyl semimetal
• Rare region effects dominate weakly disordered 3D Dirac points
• Dirac Equation For Cold Atoms In Artificial Curved Spacetimes
• Zitterbewegung (trembling motion) of electrons in semiconductors: a Review
• Collapse models with non-white noises
• Majorana modes and $p$-wave superfluids for fermionic atoms in optical lattices
• Confining stationary light: Dirac dynamics and Klein tunneling
• Continuous Quantum Measurement and the Quantum to Classical Transition
• Comparison of semiclassical and Wigner function methods in pair production in rotating fields
• Strong field effects in laser pulses: the Wigner formalism
• Krylov subspace methods for the Dirac equation
• Wigner-Lindblad equations for quantum friction
• Simulation of Zitterbewegung by modelling the Dirac equation in Metamaterials
• Enhancement and suppression of tunneling by controlling symmetries of a potential barrier
• The Wigner function in the relativistic quantum mechanics
• Non-classicality of positive relativistic Wigner function
• Perfect Zitterbewegung oscillations in the Kitaev chain system
• Single-cone real-space finite difference schemes for the Dirac von Neumann equation

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• Operational Dynamical Modeling of spin 1/2 relativistic particles: the Dirac equation and its classical limit
• Relativistic Quantum Kinetic Theory: Higher order contributions in assisted Schwinger pair production
• Decoherence-Free Entropic Gravity for Dirac Fermion
• Dynamical symmetry in a minimal dimeric complex
• Physics-informed time series analysis with Kolmogorov-Arnold Networks under Ehrenfest constraints
• Quantum Otto engines at relativistic energies