Universal Rephasing Dynamics after a Quantum Quench via Sudden Coupling of Two Initially Independent Condensates

2012/11/30 by Emanuele G. Dalla Torre, Eugene Demler, Anatoli Polkovnikov · 6 citations
Mathematics · Physics and Astronomy · #Classical mechanics #Computer science #Coupling (piping) #Coupling strength #Dimension (graph theory) #Dynamics (music) #Mathematics #Mode (computer interface) #Observable #Physics #Quantum #Quantum and electron transport phenomena #Quantum dynamics #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Scaling #Sine #Statistical physics #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1103/physrevlett.110.090404

published as Phys. Rev. Lett. 110, 090404 (2013) · 4+4pages, 7 figures, close to published version

openalex publication_date 2013/02/28 · arxiv created 2013/04/17 · arxiv updated 2013/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider a quantum quench in which two initially independent condensates are suddenly coupled and study the subsequent "rephasing" dynamics. For weak tunneling couplings, the time evolution of physical observables is predicted to follow universal scaling laws, connecting the short-time dynamics to the long-time nonperturbative regime. We first present a two-mode model valid in two and three dimensions and then move to one dimension, where the problem is described by a gapped sine-Gordon theory. Combining analytical and numerical methods, we compute universal time-dependent expectation values, allowing a quantitative comparison with future experiments.

Citations

• Quench dynamics near a quantum critical point
• Efficient Simulation of One-Dimensional Quantum Many-Body Systems
• Mode-Coupling-Induced Dissipative and Thermal Effects at Long Times after a Quantum Quench
• Two-mode Bose gas: Beyond classical squeezing
• The Kosterlitz-Thouless transition in two-dimensional Abelian spin systems and the Coulomb gas
• The density-matrix renormalization group in the age of matrix product states

Cited by

• Out-of-horizon correlations following a quench in a relativistic quantum field theory
• Dephasing–rephasing dynamics of one-dimensional tunneling quasicondensates
• Asymptotic work statistics of periodically driven Ising chains
• Dual dynamic scaling in deconfined quantum criticality
• Quantum correlations and entanglement in far-from-equilibrium spin systems
• Bidirectional universal dynamics in a spinor Bose gas close to a nonthermal fixed point