Time-Dependent Perturbation of a Two-State Quantum System by a Sinusoidal Field

2007 ◽  
pp. 265-350 ◽  
Author(s):  
David R. Dion ◽  
Joseph O. Hirschfelder
Keyword(s):  
Quantum System ◽  
Time Dependent ◽  
Sinusoidal Field

scholarly journals Equivalence between Redfield- and master-equation approaches for a time-dependent quantum system and coherence control

2011 ◽  
Vol 83 (6) ◽  
Author(s):  
D. O. Soares-Pinto ◽  
M. H. Y. Moussa ◽  
J. Maziero ◽  
E. R. deAzevedo ◽  
T. J. Bonagamba ◽  
...  
Keyword(s):  
Master Equation ◽  
Quantum System ◽  
Time Dependent

scholarly journals Effects of entanglement on vortex dynamics in the hydrodynamic representation of quantum mechanics

2020 ◽  
Vol 18 (06) ◽  
pp. 2050030
Author(s):  
Satoya Imai
Keyword(s):  
Quantum Mechanics ◽  
Variational Principle ◽  
Quantum System ◽  
Quantum Entanglement ◽  
Vortex Dynamics ◽  
Ritz Method ◽  
Hamiltonian Formalism ◽  
Time Dependent ◽  
Nodal Points ◽  
As If

The hydrodynamic representation of quantum mechanics describes virtual flow as if a quantum system were fluid in motion. This formulation illustrates pointlike vortices when the phase of a wavefunction becomes nonintegrable at nodal points. We study the dynamics of such pointlike vortices in the hydrodynamic representation for a two-particle wavefunction. In particular, we discuss how quantum entanglement influences vortex–vortex dynamics. For this purpose, we employ the time-dependent quantum variational principle combined with the Rayleigh–Ritz method. We analyze the vortex dynamics and establish connections with Dirac’s generalized Hamiltonian formalism.

The Harmonic Potential Theorem for a Quantum System with Time-Dependent Effective Mass

2015 ◽  
Vol 32 (11) ◽  
pp. 110301 ◽  
Author(s):  
Meng-Yun Lai ◽  
Duan-Liang Xiao ◽  
Xiao-Yin Pan
Keyword(s):  
Quantum System ◽  
Effective Mass ◽  
Time Dependent ◽  
Harmonic Potential

scholarly journals NON-UNITARY TRANSFORMATION OF QUANTUM TIME-DEPENDENT NON-HERMITIAN SYSTEMS

2017 ◽  
Vol 57 (6) ◽  
pp. 424 ◽  
Author(s):  
Mustapha Maamache
Keyword(s):  
Quantum Mechanics ◽  
Quantum System ◽  
Linear Combination ◽  
Hamiltonian Systems ◽  
Unitary Transformation ◽  
Time Dependent ◽  
Quantum Evolution ◽  
Precise Description ◽  
Quantum Time ◽  
New Perspective

We provide a new perspective on non-Hermitian evolution in quantum mechanics by emphasizing the same method as in the Hermitian quantum evolution. We first give a precise description of the non unitary transformation  and the associated evolution, and collecting the basic results around it and postulating the norm preserving. This cautionary postulate imposing that the time evolution of a non Hermitian quantum system preserves the inner products between the associated states must not be read naively. We also give an example showing that the solutions of time-dependent non Hermitian Hamiltonian systems given by a linear combination of SU(1,1) and SU(2) are obtained thanks to time-dependent non-unitary transformation.

scholarly journals Quench dynamics in spin crossover induced by high pressure

Open Physics ◽  
2013 ◽  
Vol 11 (7) ◽  
Author(s):  
Alexander Nesterov ◽  
Sergey Ovchinnikov ◽  
Grigorii Iaroshenko
Keyword(s):  
High Pressure ◽  
Quantum System ◽  
High Spin ◽  
Spin Crossover ◽  
Static Pressure ◽  
Pulse Velocity ◽  
Time Dependent ◽  
System State ◽  
Final State ◽  
Quench Dynamics

AbstractIn this paper we have analytically and numerically studied the dynamics of spin crossover induced by time-dependent pressure. We show that quasi static pressure, with a slow dependence on time, yields a spin crossover leading to transition from the high spin (HS) quantum system state to the low spin (LS) state. However, quench dynamics under shockwave load are more complicated. The final state of the system depends on the amplitude and pulse velocity, resulting in the mixture of the HS and LS states.

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