Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains

Abstract

We propose a protocol using a tunable Xmon qubit chain to construct generalized Su-Schrieffer-Heeger (SSH) models that support various topological phases. We study the time evolution of a single-excitation quantum state in a SSH-type qubit chain and find that such dynamics is linked to topological winding number. We also investigate the adiabatic transfer of a single-excitation quantum state in a generalized SSH-type qubit chain and show that this process can be connected with topological Chern number and be used to generate a novel entanglement-dependent topological pumping. All results have been demonstrated to be robust against qubit coupling imperfections and can be observed in a short Xmon qubit chain. Our study provides a simple method to directly measure topological invariants rooted in momentum space using quantum dynamics in real space.

7 pages, 3 figures. arXiv admin note: text overlap with arXiv:1711.07751

References in corpus (71)

• Topological Insulators
• Topological insulators and superconductors
• Topological Photonics
• Quantum Simulation
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
• Atomic physics and quantum optics using superconducting circuits
• Characterizing Quantum Supremacy in Near-Term Devices
• State preservation by repetitive error detection in a superconducting quantum circuit
• Superconducting Circuits and Quantum Information
• Scalable Quantum Simulation of Molecular Energies
• Coherent Josephson qubit suitable for scalable quantum integrated circuits
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
• Topological Thouless Pumping of Ultracold Fermions
• Building logical qubits in a superconducting quantum computing system
• Qubit architecture with high coherence and fast tunable coupling
• Detecting arbitrary quantum errors via stabilizer measurements on a sublattice of the surface code
• Chiral groundstate currents of interacting photons in a synthetic magnetic field
• Quantum Many-Body Phenomena in Coupled Cavity Arrays
• Time-reversal symmetry breaking in circuit-QED based photon lattices
• Experimental Realization of Non-Abelian Geometric Gates
• Digital quantum simulation of fermionic models with a superconducting circuit
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Implementing a strand of a scalable fault-tolerant quantum computing fabric
• Digital quantum simulation of spin models with circuit quantum electrodynamics
• Observation of topological transitions in interacting quantum circuits
• Demonstration of weight-four parity measurements in the surface code architecture
• Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
• Measuring a topological transition in an artificial spin 1/2 system
• Superconducting Circuits for Quantum Simulation of Dynamical Gauge Fields
• Topological Maxwell Metal Bands in a Superconducting Qutrit
• Many-body phenomena in QED-cavity arrays
• Geometrical pumping with a Bose-Einstein condensate
• Non-Abelian $SU(2)$ Lattice Gauge Theories in Superconducting Circuits
• Digital Quantum Simulation of Spin Systems in Superconducting Circuits
• Observing Topological Invariants Using Quantum Walk in Superconducting Circuits
• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• Direct Probe of Topological Invariants Using Bloch Oscillating Quantum Walks
• Induced self-stabilization in fractional quantum Hall states of light
• Observation of topological Uhlmann phases with superconducting qubits
• Topological states and braiding statistics using quantum circuits
• Using Superconducting Qubit Circuits to Engineer Exotic Lattice Systems
• Topological pumping of photons in nonlinear resonator arrays
• Cooling and Autonomous Feedback in a Bose-Hubbard chain with Attractive Interactions
• Topological insulator and particle pumping in a one-dimensional shaken optical lattice
• Emulating anyonic fractional statistical behavior in a superconducting quantum circuit
• Topological Zak Phase in Strongly-Coupled LC Circuits
• Incompressible polaritons in a flat band
• Observing the Nonequilibrium Dynamics of the Quantum Transverse-Field Ising Chain in Circuit QED
• Analog Superconducting Quantum Simulator for Holstein Polarons
• Simulation and Detection of Photonic Chern Insulators in One-Dimensional Circuit Quantum Electrodynamics Lattice
• Engineering three-body interaction and Pfaffian states in circuit QED systems
• Geometric Landau-Zener interferometry in a superconducting charge pump
• Measuring the Berry Phase in a Superconducting Phase Qubit by a Shortcut to Adiabaticity
• Hybrid quantum magnetism in circuit-QED: from spin-photon waves to many-body spectroscopy
• Circuit QED and sudden phase switching in a superconducting qubit array
• Witnessing topological Weyl semimetal phase in a minimal circuit-QED lattice
• Quantum simulation of Anderson and Kondo lattices with superconducting qubits
• Circuit Quantum Electrodynamics Simulator of Flat Band Physics in Lieb lattice
• Transmon-based simulator of nonlocal electron-phonon coupling: A platform for observing sharp small-polaron transitions
• Probing Quantum Phase Transition in Macroscopic Qubit Array via circuit QED architecture
• Detecting Topological Phases of Microwave Photons in a Circuit Quantum Electrodynamics Lattice
• Quantum Simulation Architecture for Lattice Bosons in Arbitrary, Tunable External Gauge Fields
• Universal two-qubit interactions, measurement and cooling for quantum simulation and computing
• Symmetries and collective excitations in large superconducting circuits
• Imaging Photon Lattice States by Scanning Defect Microscopy
• Topological edge states and pumping in a chain of coupled superconducting qubits
• Simulating systems of itinerant spin-carrying particles using arrays of superconducting qubits and resonators
• Strongly-coupled Josephson junction array for simulation of frustrated one-dimensional spin models
• Quantum simulation of macro and micro quantum phase transition from paramagnetism to frustrated magnetism with a superconducting circuit

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• Bandgap-Assisted Quantum Control of Topological Edge States in a Cavity
• Synthetic spin-orbit coupling and topological polaritons in Janeys-Cummings lattices
• Statistics tuned entanglement of the boundary modes in coupled Su-Schrieffer-Heeger chains
• Simulation of Kitaev model using one-dimensional chain of superconducting qubits and environmental effect on topological states
• Detecting non-Abelian statistics of topological states on a chain of superconducting circuits
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• Probing the topology of the two-photon bands via time-dependent quantum walks