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Books > Science & Mathematics > Physics > States of matter > Condensed matter physics (liquids & solids)
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Fluctuations and Non-Equilibrium Phenomena in Strongly-Correlated Ultracold Atoms (Hardcover, 1st ed. 2020)
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Fluctuations and Non-Equilibrium Phenomena in Strongly-Correlated Ultracold Atoms (Hardcover, 1st ed. 2020)
Series: Springer Theses
Expected to ship within 10 - 15 working days
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This book discusses non-equilibrium quantum many-body dynamics,
recently explored in an analog quantum simulator of strongly
correlated ultracold atoms. The first part presents a
field-theoretical analysis of the experimental observability of the
Higgs amplitude mode that emerges as a relativistic collective
excitation near a quantum phase transition of superfluid Bose gases
in an optical lattice potential. The author presents the dynamical
susceptibilities to external driving of the microscopic parameters,
taking into account a leading-order perturbative correction from
quantum and thermal fluctuations and shows clear signatures of the
Higgs mode in these observables. This is the first result that
strongly supports the stability of the Higgs mode in
three-dimensional optical lattices even in the presence of a
spatially inhomogeneous confinement potential and paves the way for
desktop observations of the Higgs mode. In the second part, the
author applies the semi-classical truncated-Wigner approximation
(TWA) to far-from-equilibrium quantum dynamics. Specifically, he
considers the recent experiments on quantum-quench dynamics in a
Bose-Hubbard quantum simulator. A direct comparison shows
remarkable agreement between the numerical results from TWA and the
experimental data. This result clearly indicates the potential of
such a semi-classical approach in reliably simulating many-body
systems using classical computers. The book also includes several
chapters providing comprehensive reviews of the recent studies on
cold-atomic quantum simulation and various theoretical methods,
including the Schwinger-boson approach in strongly correlated
systems and the phase-space semi-classical method for
far-from-equilibrium quantum dynamics. These chapters are highly
recommended to students and young researchers who are interested in
semi-classical approaches in non-equilibrium quantum dynamics.
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