Solution of the time-dependent Liouville-von Neumann equation: dissipative evolution

DOI10.1088/0305-4470/25/5/031zbMath0748.34047OpenAlexW2073756993WikidataQ59469479 ScholiaQ59469479MaRDI QIDQ4008090

Hillel Tal-Ezer, Michael Berman, Ronnie Kosloff

Publication date: 27 September 1992

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5672bca7564f0eee335d59231386609dbc444b9c

zbMATH Keywords

convergenceharmonic oscillatordensity operatorFourier pseudospectral methoddissipative conditionsdissipative Liouville superoperatormulti-dimensional quantum physical systemsnumerical frameworkparallelism and vectorizationpropagation scheme

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items

The Chebyshev propagator for quantum systems, Estimations of the errors between the evolving states generated by two Hamiltonians with the same initial state, Calculating Floquet states of large quantum systems: a parallelization strategy and its cluster implementation, A new computational algorithm for Green's functions: Fourier transform of the Newton polynomial expansion, Limited‐memory polynomial methods for large‐scale matrix functions, Witnessing Quantum Correlations in a Hybrid Qubit‐Qutrit System Under Intrinsic Decoherence, Semi-global approach for propagation of the time-dependent Schrödinger equation for time-dependent and nonlinear problems, Analyzing the positivity preservation of numerical methods for the Liouville-von Neumann equation, Filtered propagator functional for iterative dynamics of quantum dissipative systems