scholarly journals Quasi-exactly solvable quantum systems with explicitly time-dependent Hamiltonians

2019 ◽  
Vol 383 (2-3) ◽  
pp. 158-163 ◽  
Author(s):  
Andreas Fring ◽  
Thomas Frith
Keyword(s):  
Quantum Systems ◽  
Time Dependent ◽  
Exactly Solvable ◽  
Solvable Quantum

scholarly journals Information Geometric Perspective on Off-Resonance Effects in Driven Two-Level Quantum Systems

2020 ◽  
Vol 2 (1) ◽  
pp. 166-188 ◽  
Author(s):  
Carlo Cafaro ◽  
Steven Gassner ◽  
Paul M. Alsing
Keyword(s):  
Resonance Condition ◽  
Transition Probability ◽  
Geometric Analysis ◽  
Quantum Systems ◽  
Time Dependent ◽  
Population Transfer ◽  
Resonance Effects ◽  
Hamiltonian Models ◽  
Exactly Solvable ◽  
Geodesic Paths

We present an information geometric analysis of off-resonance effects on classes of exactly solvable generalized semi-classical Rabi systems. Specifically, we consider population transfer performed by four distinct off-resonant driving schemes specified by su 2 ; ℂ time-dependent Hamiltonian models. For each scheme, we study the consequences of a departure from the on-resonance condition in terms of both geodesic paths and geodesic speeds on the corresponding manifold of transition probability vectors. In particular, we analyze the robustness of each driving scheme against off-resonance effects. Moreover, we report on a possible tradeoff between speed and robustness in the driving schemes being investigated. Finally, we discuss the emergence of a different relative ranking in terms of performance among the various driving schemes when transitioning from on-resonant to off-resonant scenarios.

scholarly journals Exactly-Solvable Quantum Systems in Terms of Lambert-W Functions

2020 ◽  
Vol 61 (2) ◽  
Author(s):  
Axel Schulze-Halberg ◽  
Artur M. Ishkhanyan
Keyword(s):  
Quantum Systems ◽  
Exactly Solvable ◽  
Solvable Quantum

scholarly journals Exactly solvable quantum state reduction models with time-dependent coupling

2006 ◽  
Vol 39 (35) ◽  
pp. 11029-11051 ◽  
Author(s):  
Dorje C Brody ◽  
Irene C Constantinou ◽  
James D C Dear ◽  
Lane P Hughston
Keyword(s):  
Quantum State ◽  
Time Dependent ◽  
State Reduction ◽  
Exactly Solvable ◽  
Solvable Quantum ◽  
Quantum State Reduction
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