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Exact dynamics of the Tomonaga-Luttinger liquid and shortcuts to adiabaticity
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Controlling many-body quantum systems is a highly challenging task required to advance quantum technologies. Here, we report progress in controlling gapless many-body quantum systems described by the Tomonaga-Luttinger liquid (TLL). To do so, we investigate the exact dynamics of the TLL induced by an arbitrary interaction quench, making use of the
SU
(
1
,
1
)
dynamical symmetry group and the Schrödinger picture. First, we demonstrate that this approach is useful to perform a shortcut to adiabaticity, which cancels the final nonadiabatic residual energy of the driven TLL and is experimentally implementable in the semiclassical limit of the sine-Gordon model. Second, we apply this framework to analyze various driving schemes in finite time, including linear ramps and smooth protocols.
Published by the American Physical Society
2024
Title: Exact dynamics of the Tomonaga-Luttinger liquid and shortcuts to adiabaticity
Description:
Controlling many-body quantum systems is a highly challenging task required to advance quantum technologies.
Here, we report progress in controlling gapless many-body quantum systems described by the Tomonaga-Luttinger liquid (TLL).
To do so, we investigate the exact dynamics of the TLL induced by an arbitrary interaction quench, making use of the
SU
(
1
,
1
)
dynamical symmetry group and the Schrödinger picture.
First, we demonstrate that this approach is useful to perform a shortcut to adiabaticity, which cancels the final nonadiabatic residual energy of the driven TLL and is experimentally implementable in the semiclassical limit of the sine-Gordon model.
Second, we apply this framework to analyze various driving schemes in finite time, including linear ramps and smooth protocols.
Published by the American Physical Society
2024.
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