Engineering a Josephson junction chain for the simulation of the clock model
arXiv:2408.14549 · doi:10.1103/PhysRevB.111.045418
Abstract
The continuous improvement of fabrication techniques and high-quality semiconductor-superconductor interfaces allowed for unprecedented tunability of Josephson junction arrays (JJA), making them a promising candidate for analog quantum simulations of many-body phenomena. While most experimental proposals so far focused on quantum simulations of ensembles of two-level systems, the possibility of tuning the current-phase relation beyond the sinusoidal regime paves the way for studying statistical physics models with larger local Hilbert spaces. Here, we investigate a particular JJA architecture that can be mapped into a clock model. Through matrix-product-states simulations and bosonization analysis, we show that few experimentally accessible control parameters allow for the exploration of the rich phase diagrams of the associated low-energy field theories. Our results expand the horizon for analog quantum simulations with JJAs towards models that can not be efficiently captured with qubit architectures.
13+5 pages, 10+2 figures
References in corpus (59)
- Charge insensitive qubit design derived from the Cooper pair box
- Probing many-body dynamics on a 51-atom quantum simulator
- A Quantum Engineer's Guide to Superconducting Qubits
- The ITensor Software Library for Tensor Network Calculations
- Probing Topological Spin Liquids on a Programmable Quantum Simulator
- Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
- Quantum Kibble-Zurek mechanism and critical dynamics on a programmable Rydberg simulator
- Simulating Lattice Gauge Theories within Quantum Technologies
- Epitaxy of Semiconductor-Superconductor nanowires
- Bosonizing one-dimensional cold atomic gases
- Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
- Strong and weak thermalization of infinite non-integrable quantum systems
- Universal topological quantum computation from a superconductor/Abelian quantum Hall heterostructure
- Two-dimensional epitaxial superconductor-semiconductor heterostructures: A platform for topological superconducting networks
- Parafermionic edge zero modes in Z_n-invariant spin chains
- Competing density-wave orders in a one-dimensional hard-boson model
- Superconducting Gatemon Qubit based on a Proximitized Two-Dimensional Electron Gas
- Superconducting Nanocircuits for Topologically Protected Qubits
- Review on novel methods for lattice gauge theories
- Transparent Semiconductor-Superconductor Interface and Induced Gap in an Epitaxial Heterostructure Josephson Junction
- Criticality in self-dual sine-Gordon models
- Numerical study of the chiral quantum phase transition in one spatial dimension
- Superconducting, Insulating, and Anomalous Metallic Regimes in a Gated Two-Dimensional Semiconductor-Superconductor Array
- Strongly interacting Majorana modes in an array of Josephson junctions
- Discrete non-Abelian gauge theories in two-dimensional lattices and their realizations in Josephson-junction arrays
- Gate Tunable Josephson Diode in Proximitized InAs Supercurrent Interferometers
- Symmetry-broken states in a system of interacting bosons on a two-leg ladder with a uniform Abelian gauge field
- Quantum field theory for the chiral clock transition in one spatial dimension
- The quantum sine-Gordon model with quantum circuits
- Phase diagram of the Parafermionic Chain with Chiral Interactions
- Floating phase versus chiral transition in a 1D hard-boson model
- Parafermionic conformal field theory on the lattice
- Energy transport in an integrable parafermionic chain via generalized hydrodynamics
- Assembling Fibonacci Anyons From a Parafermion Lattice Model
- Quantum electrodynamics of a superconductor-insulator phase transition
- Kibble-Zurek exponent and chiral transition of the period-4 phase of Rydberg chains
- Superfluid density and quasi-long-range order in the one-dimensional disordered Bose-Hubbard model
- Topological phases of parafermions: a model with exactly-solvable ground states
- Parafermionic clock models and quantum resonance
- Commensurate and Incommensurate States of Topological Quantum Matter
- Anyonic tight-binding models of parafermions and of fractionalized fermions
- Berezinskii-Kosterlitz-Thouless transitions in the six-state clock model
- Quantum Electronic Circuit Simulation of Generalized sine-Gordon Models
- Double-Fourier engineering of Josephson energy-phase relationships applied to diodes
- Diagnosing Potts criticality and two-stage melting in one-dimensional hard-boson models
- Dynamical vortex transitions in a gate-tunable Josephson junction array
- Soliton Confinement in a Quantum Circuit
- Superconductivity from a melted insulator
- Changing anyonic ground degeneracy with engineered gauge fields
- Tunable Capacitor For Superconducting Qubits Using an InAs/InGaAs Heterostructure
- Phase diagram of the -Fock parafermion chain with pair hopping
- lattice gauge theory in a ladder geometry
- Voltage-controlled synthesis of higher harmonics in hybrid Josephson junction circuits
- Exploring helical phases of matter in bosonic ladders
- Quantum simulation of the tricritical Ising model in tunable Josephson junction ladders
- The Berezinskii-Kosterlitz-Thouless Transition and Anomalous Metallic Phase in a Hybrid Josephson Junction Array
- Quantum Electronic Circuits for Multicritical Ising Models
- Dynamics of parafermionic states in transport measurements
- Thouless pumping in Josephson junction arrays