Quantum irreversibility of quasistatic protocols for finite-size quantized systems
arXiv:2212.05512 · doi:10.1103/PhysRevA.107.052202
Abstract
Quantum mechanically, a driving process is expected to be reversible in the quasistatic limit, also known as the adiabatic theorem. This statement stands in opposition to classical mechanics, where a mix of regular and chaotic dynamics implies irreversibility. A paradigm for demonstrating the signatures of chaos in quantum irreversibility is a sweep process whose objective is to transfer condensed bosons from a source orbital. We show that such a protocol is dominated by an interplay of adiabatic-shuttling and chaos-assisted depletion processes. The latter is implied by interaction terms that spoil the Bogoliubov integrability of the Hamiltonian. As the sweep rate is lowered, a crossover to a regime that is dominated by quantum fluctuations is encountered, featuring a breakdown of quantum-to-classical correspondence. The major aspects of this picture are not captured by the common two-orbital approximation, which implies failure of the familiar many-body Landau-Zener paradigm.
arXiv comment17 pages, 13 figures
References in corpus (44)
- Many-Body Physics with Ultracold Gases
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Hysteresis in a quantized, superfluid atomtronic circuit
- Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
- Experimental realization of Josephson junctions for an Atom SQUID
- Theory of nonlinear Landau-Zener tunneling
- Roadmap on Atomtronics: State of the art and perspective
- Band structure, elementary excitations, and stability of a Bose-Einstein condensate in a periodic potential
- Adiabatic eigenstate deformations as a sensitive probe for quantum chaos
- Mean-field dynamics of a Bose-Einstein condensate in a time-dependent triple-well trap: Nonlinear eigenstates, Landau-Zener models and STIRAP
- Observation of Quantum Phase Transitions with Parity-Symmetry Breaking and Hysteresis
- Superfluidity and Swallowtails; Hysteretic Behavior in Bose Condensates
- Collective modes, chaotic behavior and self-trapping in the dynamics of three coupled Bose-Einstein condensates
- Quantum Dynamics of Three Coupled Atomic Bose-Einstein Condensates
- Chaos and energy spreading for time-Dependent Hamiltonians, and the various Regimes in the theory of Quantum Dissipation
- Quantum dissipation due to the interaction with chaotic degrees-of-freedom and the correspondence principle
- Macroscopic superpositions of superfluid flows
- Complexity in parametric Bose-Hubbard Hamiltonians and structural analysis of eigenstates
- Persistent currents in a circular array of Bose-Einstein condensates
- Dynamics of a Bose-Einstein condensate in a symmetric triple-well trap
- Semiclassical quantization of the Bogoliubov spectrum
- Melting of Discrete Vortices via Quantum Fluctuations
- Bose-Einstein condensates in toroidal traps: instabilities, swallow-tail loops, and self-trapping
- Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
- Bose-Hubbard Hamiltonian: Quantum Chaos approach
- Hamiltonian Hopf bifurcations in the discrete nonlinear Schrödinger trimer: oscillatory instabilities, quasiperiodic solutions and a 'new' type of self-trapping transition
- Superfluidity and Chaos in low dimensional circuits
- Occupation Statistics of a BEC for a Driven Landau-Zener Crossing
- Quantum signatures of self-trapping transition in attractive lattice bosons
- Nucleation in finite topological systems during continuous metastable quantum phase transitions
- Triangular Bose-Hubbard trimer as a minimal model for a superfluid circuit
- Adiabatic passage through chaos
- Superfluidity in Bose-Hubbard circuits
- Current and entanglement in a Bose-Hubbard lattice
- Chaos and two-level dynamics of the Atomtronic Quantum Interference Device
- Probabilistic Hysteresis in Integrable and Chaotic Isolated Hamiltonian Systems
- Oscillating mushrooms: adiabatic theory for a non-ergodic system
- Equilibration of energy in slow-fast systems
- Many-body adiabatic passage: Quantum detours around chaos
- Engineering separatrix volume as a control technique for dynamical transitions
- Temporal fluctuations in the bosonic Josephson junction as a probe for phase space tomography
- Monodromy and chaos for condensed bosons in optical lattices
- Many-body dynamical localization and thermalization
- Quasistatic transfer protocols for atomtronic superfluid circuits