Scaling approach to quantum non-equilibrium dynamics of many-body systems

DOI10.1088/1367-2630/12/11/113005zbMath1448.82050arXiv0912.2744OpenAlexW2144591679MaRDI QIDQ5135165

Eugene Demler, Peter Barmettler, Vladimir Gritsev

Publication date: 19 November 2020

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.2744

Mathematics Subject Classification ID

Statistical mechanics of superfluids (82D50) Many-body theory; quantum Hall effect (81V70)

Related Items (9)

Exact dynamics of a one dimensional Bose gas in a periodic time-dependent harmonic trap ⋮ Sum rule of quantum uncertainties: coupled harmonic oscillator system with time-dependent parameters ⋮ Analytical results for the time-dependent current density distribution of expanding ultracold gases after a sudden change of the confining potential ⋮ Exact results for nonequilibrium dynamics in Wigner phase space ⋮ Shortcuts to adiabaticity for an interacting Bose–Einstein condensate via exact solutions of the generalized Ermakov equation ⋮ A map between time-dependent and time-independent quantum many-body Hamiltonians ⋮ Quantum supremacy of many-particle thermal machines ⋮ Path integrals for higher derivative actions ⋮ Quench dynamics of noninteracting fermions with a delta impurity

Cites Work

• Unnamed Item
• Unnamed Item
• General coordinate invariance and conformal invariance in nonrelativistic physics: unitary Fermi gas
• Riccati and Ermakov equations in time-dependent and time-independent quantum systems
• Recent applications of the theory of Lie systems in Ermakov systems
• The density-matrix renormalization group
• Gravity Duals for Nonrelativistic Conformal Field Theories
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• Quantum Physics in One Dimension
• Bethe ansatz approach to quench dynamics in the Richardson model
• The Ermakov equation: A commentary
• Newtonian trajectories and quantum waves in expanding force fields
• Quantum quenches in extended systems
• Exact Quantization Conditions. II
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
• Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators
• Solution for the dynamics of the BCS and central spin problems
• The Method of Moments for Nonlinear Schrödinger Equations: Theory and Applications

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