6533b870fe1ef96bd12cf285

RESEARCH PRODUCT

Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature

Antonino MessinaAndrea GrimaldiAlessandro Sergi

subject

Density matrixQuantum dynamicsmolecular junction; non-Hermitian quantum mechanics; open quantum system dynamics; quantum thermodynamics; Quantum Physics; Quantum Physics; 80M99 81-08 81-10 81P99General Physics and AstronomyFOS: Physical scienceslcsh:Astrophysics02 engineering and technology01 natural sciencesArticle81-1003.67.PpQuantum stateQuantum mechanicslcsh:QB460-4660103 physical sciences80M9931.15.xglcsh:Science010306 general physicsQuantum thermodynamicsQuantumnon-Hermitian quantum mechanicsQuantum tunnelling05.30.-dPhysicsQuantum PhysicsOperator (physics)80M99 81-08 81-10 81P9981-08021001 nanoscience & nanotechnologyopen quantum system dynamicslcsh:QC1-99981P99Phase space05.60.Ggquantum thermodynamicslcsh:Q0210 nano-technologyQuantum Physics (quant-ph)molecular junctionlcsh:Physics02.60.Cb

description

This work concerns the theoretical description of the quantum dynamics of molecular junctions with thermal fluctuations and probability losses. To this end, we propose a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments. Along the lines discussed in [A. Sergi et al., Symmetry 10 518 (2018)], we adopt the operator-valued Wigner formulation of quantum mechanics (wherein the density matrix depends on the points of the Wigner phase space associated to the system) and derive a non-linear equation of motion. Moreover, we introduce a model for a non-Hermitian quantum single-molecule junction (nHQSMJ). In this model the leads are mapped to a tunneling two-level system, which is in turn coupled to a harmonic mode (i.e., the molecule). A decay operator acting on the two-level system describes phenomenologically probability losses. Finally, the temperature of the molecule is controlled by means of a Nos&eacute

10.3390/e23020147http://hdl.handle.net/11570/3231230