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Published on: November 11, 2013
Quantum Transition Rates in Arbitrary Physical Processes
Adolfo Del Campo1,2, András Grabarits1, Dmitrii E Makarov3,4
1University of Luxembourg, Department of Physics and Materials Science, L-1511 Luxembourg, Luxembourg.
We developed a new method to calculate quantum transition rates (QTRs), measuring how fast quantum states change. These rates are limited by fundamental quantum speed limits and can be controlled.
Area of Science:
- Quantum mechanics
- Quantum information theory
- Chemical physics
Background:
- Understanding the dynamics of quantum systems is crucial.
- Quantifying the speed of quantum state evolution is an ongoing challenge.
- Existing methods often struggle with open quantum systems and measurements.
Purpose of the Study:
- Introduce a novel framework for computing time-dependent quantum transition rates (QTRs).
- Describe the pace of quantum state evolution between subspaces.
- Generalize QTRs to open quantum systems and measurements.
Main Methods:
- Expressing QTRs using flux-flux correlators.
- Developing a framework applicable to arbitrary open quantum evolution.
- Utilizing counterdiabatic driving for control.
Main Results:
- QTRs are shown to obey two complementary quantum speed limits.
- The framework successfully generalizes Hamiltonian dynamics.
- Demonstrated control over QTRs via counterdiabatic driving.
Conclusions:
- The proposed framework offers a robust method for calculating QTRs.
- Quantum speed limits are fundamental to quantum state evolution.
- Counterdiabatic driving provides a viable control mechanism for quantum dynamics.
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