Quantum dynamics of the small-polaron formation in a superconducting analog simulator

Abstract

We propose a scheme for investigating the nonequilibrium aspects of small-polaron physics using an array of superconducting qubits and microwave resonators. This system, which can be realized with transmon or gatemon qubits, serves as an analog simulator for a lattice model describing a nonlocal coupling of a quantum particle (excitation) to dispersionless phonons. We study its dynamics following an excitation-phonon (qubit-resonator) interaction quench using a numerically exact approach based on a Chebyshev-moment expansion of the time-evolution operator of the system. We thereby glean heretofore unavailable insights into the process of the small-polaron formation resulting from strongly momentum-dependent excitation-phonon interactions, most prominently about its inherent dynamical timescale. To further characterize this complex process, we evaluate the excitation-phonon entanglement entropy and show that initially prepared bare-excitation Bloch states here dynamically evolve into small-polaron states that are close to being maximally entangled. Finally, by computing the dynamical variances of the phonon position and momentum quadratures, we demonstrate a pronounced non-Gaussian character of the latter states, with a strong antisqueezing in both quadratures.

Project started in 2016, completed -- after a long interruption -- in 2018

References in corpus (15)

• Charge insensitive qubit design derived from the Cooper pair box
• Quantum Non-demolition Detection of Single Microwave Photons in a Circuit
• Electron-phonon interaction in the t-J model
• Nonequilibrium dynamics of the Holstein polaron driven by external electric field
• Relaxation dynamics of the Holstein polaron
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• Incommensurate superfluidity of bosons in a double-well optical lattice
• Quantum simulation of small-polaron formation with trapped ions
• Electron-phonon coupling in crystalline organic semiconductors: Microscopic evidence for nonpolaronic charge carriers
• Spectral Properties of Holstein and Breathing Polarons
• Quantum-entanglement aspects of polaron systems
• Polaronic signatures and spectral properties of graphene antidot lattices
• Coexistence of excited polarons and metastable delocalized states in photo-induced metals
• Controlling qubit arrays with anisotropic XXZ Heisenberg interaction by acting on a single qubit
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Cited by in corpus (11)

• Scalable $W$-type entanglement resource in neutral-atom arrays with Rydberg-dressed resonant dipole-dipole interaction
• Dicke-state preparation through global transverse control of Ising-coupled qubits
• Dynamical generation of chiral $W$ and Greenberger-Horne-Zeilinger states in laser-controlled Rydberg-atom trimers
• Coherent Atom Transport via Enhanced Shortcuts to Adiabaticity: Double-Well Optical Lattice
• Quantum dynamics of disordered arrays of interacting superconducting qubits: signatures of quantum collective states
• Twist-and-turn dynamics of spin squeezing in bosonic Josephson junctions: Enhanced shortcuts-to-adiabaticity approach
• Spectral features of polaronic excitations in a superconducting analog simulator
• Mixed-state phase transitions in spin-Holstein models
• Digital Quantum Simulation of Scalar Yukawa Coupling
• Analog Circuit-QED Simulator of Quantum Spin Dynamics Through the Extended Bose-Hubbard Model
• Harnessing subspace controllability: Dynamical generation of Dicke states in Heisenberg-coupled qubit arrays with a single local control