Many-body Landau-Zener dynamics in coupled 1D Bose liquids

Abstract

The Landau-Zener model of a quantum mechanical two-level system driven with a linearly time dependent detuning has served over decades as a textbook paradigm of quantum dynamics. In their seminal work [L. D. Landau, Physik. Z. Sowjet. 2, 46 (1932); C. Zener, Proc. Royal Soc. London 137, 696 (1932)], Landau and Zener derived a non-perturbative prediction for the transition probability between two states, which often serves as a reference point for the analysis of more complex systems. A particularly intriguing question is whether that framework can be extended to describe many-body quantum dynamics. Here we report an experimental and theoretical study of a system of ultracold atoms, offering a direct many-body generalization of the Landau-Zener problem. In a system of pairwise tunnel-coupled 1D Bose liquids we show how tuning the correlations of the 1D gases, the tunnel coupling between the tubes and the inter-tube interactions strongly modify the original Landau-Zener picture. The results are explained using a mean-field description of the inter-tube condensate wave-function, coupled to the low-energy phonons of the 1D Bose liquid.

13 pages, 10 figures.

References in corpus (19)

• Thermalization and its mechanism for generic isolated quantum systems
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Universal adiabatic dynamics across a quantum critical point
• Exact relaxation in a class of non-equilibrium quantum lattice systems
• Strong dissipation inhibits losses and induces correlations in cold molecular gases
• Strongly correlated fermions after a quantum quench
• Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
• Breakdown of the adiabatic limit in low dimensional gapless systems
• Relaxation of antiferromagnetic order in spin-1/2 chains following a quantum quench
• Preparing and probing atomic number states with an atom interferometer
• Exploring local quantum many-body relaxation by atoms in optical superlattices
• Quantum Spin Dynamics of Mode-Squeezed Luttinger Liquids in Two-Component Atomic Gases
• Boson Mott insulators at finite temperatures
• Quantum phases of bosons in double-well optical lattices
• Many-body effects on adiabatic passage through Feshbach resonances
• Production efficiency of Feshbach molecules in fermion systems
• Universal Dephasing of Many-Body Rabi Oscillations of Atoms in One-Dimensional Traps

Cited by in corpus (37)

• Relaxation and thermalization in the one-dimensional Bose-Hubbard model: A case study for the interaction quantum quench from the atomic limit
• Correlated dynamics in a synthetic lattice of momentum states
• Non-perturbative stochastic method for driven spin-boson model
• Phase diagram of hard-core bosons on clean and disordered 2-leg ladders: Mott insulator - Luttinger liquid - Bose glass
• Nonlinear dynamics in a synthetic momentum state lattice
• Linear quantum quench in the Heisenberg XXZ chain: time dependent Luttinger model description of a lattice system
• Bose-Einstein condensates in toroidal traps: instabilities, swallow-tail loops, and self-trapping
• Constraints on scattering amplitudes in multistate Landau-Zener theory
• Controlling high-frequency collective electron dynamics via single-particle complexity
• Dynamic structure factor and drag force in a one-dimensional strongly-interacting Bose gas at finite temperature
• Landau-Zener sweeps and sudden quenches in coupled Bose-Hubbard chains
• Nonlinear two-level dynamics of quantum time crystals
• Anti-Kibble-Zurek behavior of a noisy transverse-field XY chain and its quantum simulation with two-level systems
• Adiabaticity in nonreciprocal Landau-Zener tunneling
• Various Topological Mott insulators in strongly-interacting boson system in one-dimensional superlattice
• Multistate Landau-Zener models with all levels crossing at one point
• Reverse engineering protocols for controlling spin dynamics
• Rigorous mean-field dynamics of lattice bosons: Quenches from the Mott insulator
• Nonlinear Non-Hermitian Landau-Zener-Stückelberg-Majorana interferometry
• Interaction induced Landau-Zener transitions
• Many-body adiabatic passage: Quantum detours around chaos
• Formation of spin and charge ordering in the extended Hubbard model during a finite-time quantum quench
• Photon-induced sideband transitions in a many-body Landau-Zener process
• Cooling schemes for two-component fermions in layered optical lattices
• Nonlinear multi-state tunneling dynamics in a spinor Bose-Einstein condensate
• Nonadiabatic evolution and thermodynamics of a time-dependent open quantum system
• Creating fractional quantum Hall states with atomic clusters using light-assisted insertion of angular momentum
• Coherent manipulation of single electron spins with Landau-Zener sweeps
• Parametric amplification of light in a cavity with a moving dielectric membrane: Landau-Zener problem for the Maxwell field
• Two-leg fermionic Hubbard ladder system in the presence of state-dependent hopping
• Tunable nonlinear Landau-Zener tunnelings in a spin-orbit-coupled spinor Bose-Einstein condensate
• Quantum signatures of chaos in a cavity-QED-based stimulated Raman adiabatic passage
• Stabilizing period-doubled density waves by spin-orbit coupling in Bose-Einstein condensates in optical lattices
• Ground-state phase diagram of two-component interacting bosons on a two-leg ladder
• Electric circuit analog of Landau-Zener tunneling using time-varying elements
• Theory of anomalous Landau-Zener tunneling induced by nonlinear coupling
• Resonant superfluidity in the Rabi-coupled spin-dependent Fermi-Hubbard model