0000000000133049

AUTHOR

Gabriel Hanna

showing 2 related works from this author

Quasi-Lie Brackets and the Breaking of Time-Translation Symmetry for Quantum Systems Embedded in Classical Baths

2018

Many open quantum systems encountered in both natural and synthetic situations are embedded in classical-like baths. Often, the bath degrees of freedom may be represented in terms of canonically conjugate coordinates, but in some cases they may require a non-canonical or non-Hamiltonian representation. Herein, we review an approach to the dynamics and statistical mechanics of quantum subsystems embedded in either non-canonical or non-Hamiltonian classical-like baths which is based on operator-valued quasi-probability functions. These functions typically evolve through the action of quasi-Lie brackets and their associated Quantum-Classical Liouville Equations, or through quasi-Lie brackets a…

Hybrid quantum-classical systemBreaking of time-translation symmetry; Classical spin dynamics; Hybrid quantum-classical systems; Langevin dynamics; Nosé-Hoover dynamics; Quantum-classical Liouville equation; Quasi-lie brackets; Computer Science (miscellaneous); Chemistry (miscellaneous); Mathematics (all); Physics and Astronomy (miscellaneous)Physics and Astronomy (miscellaneous)General MathematicsDegrees of freedom (physics and chemistry)FOS: Physical sciencesNosé-Hoover dynamic02 engineering and technologyQuasi-lie bracketLangevin dynamics01 natural sciencesbreaking of time-translation symmetrysymbols.namesakeLangevin dynamicClassical spin dynamic0103 physical sciencesComputer Science (miscellaneous)010306 general physicsLangevin dynamicsquantum-classical Liouville equationPhysicsQuantum Physicsquasi-lie bracketslcsh:MathematicsObservableStatistical mechanicsclassical spin dynamicslcsh:QA1-939021001 nanoscience & nanotechnologyAction (physics)Nosé–Hoover dynamicsClassical mechanicsGeometric phaseChemistry (miscellaneous)Phase spacesymbolshybrid quantum-classical systemsNoether's theorem0210 nano-technologyQuantum Physics (quant-ph)
researchProduct

Proposal of a Computational Approach for Simulating Thermal Bosonic Fields in Phase Space

2019

When a quantum field is in contact with a thermal bath, the vacuum state of the field may be generalized to a thermal vacuum state, which takes into account the thermal noise. In thermo field dynamics, this is realized by doubling the dimensionality of the Fock space of the system. Interestingly, the representation of thermal noise by means of an augmented space is also found in a distinctly different approach based on the Wigner transform of both the field operators and density matrix, which we pursue here. Specifically, the thermal noise is introduced by augmenting the classical-like Wigner phase space by means of Nos&eacute

PhysicsDensity matrixQuantum PhysicsField (physics)Vacuum statebosonic fieldFOS: Physical sciencesFock spacemolecular dynamics simulationPhase spaceBosonic fieldWigner distribution functionWigner functionStatistical physicsQuantum field theoryWigner function bosonic field temperature control molecular dynamics simulationQuantum Physics (quant-ph)temperature controlPhysics
researchProduct