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Shortcuts to adiabaticity by counterdiabatic driving
1Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Physical Review Letters
|August 29, 2014
Summary
Counterdiabatic driving enables systems to mimic adiabatic dynamics without slow changes. This research provides experimentally viable protocols for various quantum systems, including Bose-Einstein condensates.
Area of Science:
- Quantum mechanics
- Atomic physics
- Condensed matter physics
Background:
- Adiabatic dynamics typically requires very slow system evolution.
- Counterdiabatic driving offers a way to speed up quantum system evolution.
- Engineering these protocols often necessitates complex, non-local interactions.
Purpose of the Study:
- To develop experimentally realizable counterdiabatic driving protocols.
- To apply these protocols to systems without prior spectral information.
- To demonstrate the method's utility in fast quantum system manipulation.
Main Methods:
- Developing driving protocols based on system Hamiltonian diagonalization.
- Generalizing the approach for single-particle, many-body, and nonlinear systems.
- Applying the derived protocols to Bose-Einstein condensate decompression.
Main Results:
- Identified experimentally viable driving protocols for diverse quantum systems.
- Successfully mimicked adiabatic evolution under fast driving conditions.
- Demonstrated application in the rapid decompression of Bose-Einstein condensates.
Conclusions:
- Counterdiabatic driving provides an efficient route to adiabatic dynamics.
- The developed protocols are broadly applicable and experimentally feasible.
- This method advances the control and manipulation of quantum systems.
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