LEADER 04901nam 22006735 450 001 996601665603316 005 20240619145528.0 010 $a981-15-7171-6 024 7 $a10.1007/978-981-15-7171-8 035 $a(CKB)4100000011401173 035 $a(MiAaPQ)EBC6318823 035 $a(DE-He213)978-981-15-7171-8 035 $a(PPN)250215489 035 $a(EXLCZ)994100000011401173 100 $a20200825d2020 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFluctuations and Non-Equilibrium Phenomena in Strongly-Correlated Ultracold Atoms /$fby Kazuma Nagao 205 $a1st ed. 2020. 210 $cSpringer Singapore$d2020 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2020. 215 $a1 online resource (126 pages) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 311 $a981-15-7170-8 327 $aIntroduction -- Ultracold Bose Gases in Optical Lattices -- Phase Space Methods for Quantum Dynamics -- Response of the Higgs Mode in a Three Dimensional Optical Lattice -- Semiclassical Quench Dynamics of Bose Gases in Optical Lattices -- Conclusions and Outlooks -- Appendix. 330 $aThis book discusses non-equilibrium quantum many-body dynamics, recently explored in an analog quantum simulator of strongly correlated ultracold atoms. The first part presents a field-theoretical analysis of the experimental observability of the Higgs amplitude mode that emerges as a relativistic collective excitation near a quantum phase transition of superfluid Bose gases in an optical lattice potential. The author presents the dynamical susceptibilities to external driving of the microscopic parameters, taking into account a leading-order perturbative correction from quantum and thermal fluctuations and shows clear signatures of the Higgs mode in these observables. This is the first result that strongly supports the stability of the Higgs mode in three-dimensional optical lattices even in the presence of a spatially inhomogeneous confinement potential and paves the way for desktop observations of the Higgs mode. In the second part, the author applies the semi-classical truncated-Wigner approximation (TWA) to far-from-equilibrium quantum dynamics. Specifically, he considers the recent experiments on quantum-quench dynamics in a Bose-Hubbard quantum simulator. A direct comparison shows remarkable agreement between the numerical results from TWA and the experimental data. This result clearly indicates the potential of such a semi-classical approach in reliably simulating many-body systems using classical computers. The book also includes several chapters providing comprehensive reviews of the recent studies on cold-atomic quantum simulation and various theoretical methods, including the Schwinger-boson approach in strongly correlated systems and the phase-space semi-classical method for far-from-equilibrium quantum dynamics. These chapters are highly recommended to students and young researchers who are interested in semi-classical approaches in non-equilibrium quantum dynamics. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 606 $aPhase transformations (Statistical physics) 606 $aCondensed materials 606 $aSuperconductivity 606 $aSuperconductors 606 $aPhase transitions (Statistical physics) 606 $aStatistical physics 606 $aQuantum Gases and Condensates$3https://scigraph.springernature.com/ontologies/product-market-codes/P24033 606 $aStrongly Correlated Systems, Superconductivity$3https://scigraph.springernature.com/ontologies/product-market-codes/P25064 606 $aPhase Transitions and Multiphase Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P25099 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 615 0$aPhase transformations (Statistical physics). 615 0$aCondensed materials. 615 0$aSuperconductivity. 615 0$aSuperconductors. 615 0$aPhase transitions (Statistical physics). 615 0$aStatistical physics. 615 14$aQuantum Gases and Condensates. 615 24$aStrongly Correlated Systems, Superconductivity. 615 24$aPhase Transitions and Multiphase Systems. 615 24$aStatistical Physics and Dynamical Systems. 676 $a530.43078 700 $aNagao$b Kazuma$4aut$4http://id.loc.gov/vocabulary/relators/aut$0917417 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996601665603316 996 $aFluctuations and Non-Equilibrium Phenomena in Strongly-Correlated Ultracold Atoms$92057020 997 $aUNISA