The phases of the disordered Bose-Hubbard model with attractive interactions
arXiv:2101.06032 · doi:10.1103/PhysRevB.103.L220202
Abstract
We study the quantum ground state phases of the one-dimensional disordered Bose--Hubbard model with attractive interactions, realized by a chain of superconducting transmon qubits or cold atoms. We map the phase diagram using perturbation theory and exact diagonalization. Compared to the repulsive Bose--Hubbard model, the quantum ground state behavior is dramatically different. At strong disorder of the on-site energies, all the bosons localize into the vicinity of a single site, contrary to the Bose glass behavior of the repulsive model. At weak disorder, depending on hopping, the ground state is either superfluid or a W state, which is a multi-site and multi-particle entangled superposition of states where all the bosons occupy a single site. We show that the robustness of the W phase against disorder diminishes as the total number of bosons increases.
References in corpus (39)
- Many-Body Physics with Ultracold Gases
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Charge insensitive qubit design derived from the Cooper pair box
- Three qubits can be entangled in two inequivalent ways
- A Quantum Engineer's Guide to Superconducting Qubits
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Dynamical quantum phase transitions: a review
- Tuning the scattering length with an optically induced Feshbach resonance
- Spectral signatures of many-body localization with interacting photons
- The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
- A Dissipatively Stabilized Mott Insulator of Photons
- Demonstration of Universal Parametric Entangling Gates on a Multi-Qubit Lattice
- Emulating many-body localization with a superconducting quantum processor
- Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
- Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
- Density matrix renormalization group for disordered bosons in one dimension
- Bose glass and Mott glass of quasiparticles in a doped quantum magnet
- Probing the Bose-Glass--Superfluid Transition using Quantum Quenches of Disorder
- Extreme nonlocality with one photon
- Cooling and Autonomous Feedback in a Bose-Hubbard chain with Attractive Interactions
- Ground-state properties of the attractive one-dimensional Bose-Hubbard model
- Probing many-body localization phase transition with superconducting circuits
- Quantum phases of interacting phonons in ion traps
- Quantum signatures of breather-breather interactions
- Attractive ultracold bosons in a necklace optical potential
- Dipolar Spin Models with Arrays of Superconducting Qubits
- Universal non-adiabatic control of small-gap superconducting qubits
- Superfluidity and Chaos in low dimensional circuits
- Bose-Hubbard model with attractive interactions
- Dynamical quantum phase transitions in collapse and revival oscillations of a quenched superfluid
- Quantum signatures of self-trapping transition in attractive lattice bosons
- Photon blockade and the quantum-to-classical transition in the driven-dissipative Josephson pendulum coupled to a resonator
- Ergodic-localized junctions in a periodically-driven spin chain
- Nonlocality and Entanglement for Symmetric States
- Superfluidity in Bose-Hubbard circuits
- Deterministic Many-Resonator W Entanglement of Nearly Arbitrary Microwave States via Attractive Bose-Hubbard Simulation
- Relative and center-of-mass motion in the attractive Bose-Hubbard model
Cited by in corpus (14)
- Kinetically Constrained Quantum Dynamics in Superconducting Circuits
- Beyond hard-core bosons in transmon arrays
- Collective bosonic effects in an array of transmon devices
- Soliton versus single photon quantum dynamics in arrays of superconducting qubits
- Phase transitions induced by standard and predetermined measurements in transmon arrays
- Non-Hermitian topological quantum states in a reservoir-engineered transmon chain
- Suppressing chaos with mixed superconducting qubit devices
- Quantum phases of the biased two-chain-coupled Bose-Hubbard Ladder
- Reservoir Engineering for Classical Nonlinear Fields
- Encoding strongly-correlated many-boson wavefunctions on a photonic quantum computer: application to the attractive Bose-Hubbard model
- Synthetic fractional flux quanta in a ring of superconducting qubits
- Finite temperature phase diagram of the extended Bose-Hubbard model in the presence of disorder
- Passive leakage removal unit based on a disordered transmon array
- Coherent pair injection as a route towards the enhancement of supersolid order in many-body bosonic models