Phase coherence and nonadiabatic transition at a level crossing in a periodically driven two-level system

1993 ◽  
Vol 47 (15) ◽  
pp. 9940-9943 ◽  
Author(s):  
Yosuke Kayanuma
Keyword(s):  
Phase Coherence ◽  
Level System ◽  
Level Crossing ◽  
Nonadiabatic Transition ◽  
Periodically Driven

Nonadiabatic transition at a level crossing with dissipation

1998 ◽  
Vol 57 (20) ◽  
pp. 13099-13112 ◽  
Author(s):  
Yosuke Kayanuma ◽  
Hiroyuki Nakayama
Keyword(s):  
Level Crossing ◽  
Nonadiabatic Transition

scholarly journals Speeding up maximum population transfer in periodically driven multi-level quantum systems

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Sebastián Carrasco ◽  
José Rogan ◽  
Juan Alejandro Valdivia
Keyword(s):  
Quantum Systems ◽  
Single Frequency ◽  
Time Varying ◽  
Level System ◽  
Periodically Driven ◽  
First Excited State ◽  
Oscillating Boundary ◽  
Multi Level ◽  
Square Well ◽  
The One

Abstract A fast and robust approach to controlling the quantum state of a multi-level quantum system is investigated using a twofrequency time-varying potential. A comparison with other related approaches in the context of a two-level system is also presented, showing similar times and fidelities. As a concrete example, we study the problem of a particle in a box with a periodically oscillating infinite square-well potential, from which we obtain results that can be applied to systems with periodically oscillating boundary conditions. We show that the transition between the ground and first excited state is about 20 times faster than the one performed using a single frequency, both with fidelity of 99.97%. The transition time is about 3.5 times the minimum allowed by quantum mechanics. A test of the robustness of the approach is presented, concluding that, counter-intuitively, it is not only faster but also easier to tune up two frequencies than one. This robustness makes the approach suitable for real applications.

scholarly journals Exact solution for quantum dynamics of a periodically driven two-level system

2010 ◽  
Vol 82 (2) ◽  
Author(s):  
Anirban Gangopadhyay ◽  
Maxim Dzero ◽  
Victor Galitski
Keyword(s):  
Exact Solution ◽  
Quantum Dynamics ◽  
Level System ◽  
Periodically Driven

Thermodynamics of two-stroke engine based on periodically driven two-level system

2010 ◽  
Vol 42 (3) ◽  
pp. 472-476 ◽  
Author(s):  
Petr Chvosta ◽  
Viktor Holubec ◽  
Artem Ryabov ◽  
Mario Einax ◽  
Philipp Maass
Keyword(s):  
Level System ◽  
Periodically Driven ◽  
Stroke Engine

scholarly journals The Floquet Theory of the Two-Level System Revisited

2018 ◽  
Vol 73 (8) ◽  
pp. 705-731 ◽  
Author(s):  
Heinz-Jürgen Schmidt
Keyword(s):  
Floquet Theory ◽  
Resonance Condition ◽  
Equations Of Motion ◽  
Asymptotic Formulas ◽  
Geometrical Approach ◽  
Level System ◽  
Periodically Driven ◽  
Analytical Approximations ◽  
Physical Quantities ◽  
Linear Polarisation

AbstractIn this article, we reconsider the periodically driven two-level system especially the Rabi problem with linear polarisation. The Floquet theory of this problem can be reduced to its classical limit, i.e. to the investigation of periodic solutions of the classical Hamiltonian equations of motion in the Bloch sphere. The quasienergy is essentially the action integral over one period and the resonance condition due to Shirley is shown to be equivalent to the vanishing of the time average of a certain component of the classical solution. This geometrical approach is applied to obtain analytical approximations to physical quantities of the Rabi problem with linear polarisation as well as asymptotic formulas for various limit cases.

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