Adiabatic state preparation of interacting two-level systems

Abstract

We consider performing adiabatic rapid passage (ARP) using frequency-swept driving pulses to excite a collection of interacting two-level systems. Such a model arises in a wide range of many-body quantum systems, such as cavity QED or quantum dots, where a nonlinear component couples to light. We analyze the one-dimensional case using the Jordan-Wigner transformation, as well as the mean field limit where the system is described by a Lipkin-Meshkov-Glick Hamiltonian. These limits provide complementary insights into the behavior of many-body systems under ARP, suggesting our results are generally applicable. We demonstrate that ARP can be used for state preparation in the presence of interactions, and identify the dependence of the required pulse shapes on the interaction strength. In general interactions increase the pulse bandwidth required for successful state transfer, introducing new restrictions on the pulse forms required.

References in corpus (14)

• Nonequilibrium dynamics of closed interacting quantum systems
• Coupling Superconducting Qubits via a Cavity Bus
• Quantum Many-Body Phenomena in Coupled Cavity Arrays
• Many-body Landau-Zener dynamics in coupled 1D Bose liquids
• Robust quantum dot state preparation via adiabatic passage with frequency-swept optical pulses
• Quantum state preparation in semiconductor dots by adiabatic rapid passage
• Non-adiabacity and large flucutations in a many particle Landau Zener problem
• Towards a Landau-Zener formula for an interacting Bose-Einstein condensate
• Many body generalization of the Landau Zener problem
• Circuit QED scheme for realization of the Lipkin-Meshkov-Glick model
• Dynamics of a many-particle Landau-Zener model: inverse sweep
• Nonlinear Landau-Zener tunneling in quantum phase space
• Collapse and revivals of a the photon field in a many-body Landau-Zener process
• Quantum condensation from a tailored exciton population in a microcavity

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• High-Fidelity Entangled Bell States via Shortcuts to Adiabaticity
• Shortcut-to-Adiabatic Controlled-Phase Gate in Rydberg Atoms
• Quench dynamics of a disordered array of dissipative coupled cavities
• Nonadiabatic Phase Transition with Broken Chiral Symmetry
• Comparison of Two Optimization Methods for a Rydberg Quantum Gate
• Cost of Emulating a Small Quantum Annealing Problem in the Circuit-Model
• Dynamics of observables and exactly solvable quantum problems: Using time-dependent density functional theory to control quantum systems
• Symmetric $C_Z$ gate for ultracold neutral atoms based on counterdiabatic driving at Rydberg excitation