Effective quantum spin systems with ion traps

Abstract

We show that the physical system consisting of trapped ions interacting with lasers may undergo a rich variety of quantum phase transitions. By changing the laser intensities and polarizations the dynamics of the internal states of the ions can be controlled, in such a way that an Ising or Heisenberg-like interaction is induced between effective spins. Our scheme allows us to build an analogue quantum simulator of spin systems with trapped ions, and observe and analyze quantum phase transitions with unprecedent opportunities for the measurement and manipulation of spins.

4 pages, 3 figures

References in corpus (6)

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• The Ion Trap Quantum Information Processor
• Spin-spin interaction and spin-squeezing in an optical lattice
• Trapped-Ion Quantum Simulator: Experimental Application to Nonlinear Interferometers
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• Deconfined Quantum Criticality in the long-range, anisotropic Heisenberg Chain
• Teleportation with trapped ions in a magnetic field gradient
• Linking Phase Transitions and Quantum Entanglement at Arbitrary Temperature
• A cryogenic surface-electrode elliptical ion trap for quantum simulation
• Semiclassical approach to finite temperature quantum annealing with trapped ions
• Mølmer-Sørensen entangling gate for cavity QED systems
• Critical behavior of su(1|1) supersymmetric spin chains with long-range interactions
• Intrinsic anharmonic effects on the phonon frequencies and effective spin-spin interactions in a quantum simulator made from trapped ions in a linear Paul trap
• One-dimensional Kronig-Penney superlattices at the LaAlO${}_3$/SrTiO${}_3$ interface
• Collective $1/f$ fluctuation by pseudo-Casimir-invariants
• Reconstructing the ideal results of a perturbed analog quantum simulator
• Phase-adaptive dynamical decoupling methods for robust spin-spin dynamics in trapped ions
• Generation of concurrence between two qubits locally coupled to a one dimensional spin chain
• Dual trapped-ion quantum simulators: an alternative route towards exotic quantum magnets
• Theoretical basis for quantum simulation with a planar ionic crystal in a Penning trap using a triangular rotating wall
• Asymptotic entanglement sudden death in two atoms with dipole-dipole and Ising interactions coupled to a radiation field at non-zero detuning
• Steady-state phases of dissipative spin-1/2 XYZ model with frustrated interaction
• Ramp dynamics of phonons in an ion trap: entanglement generation and cooling
• Measuring energy by measuring any other observable
• Many-Body Physics with Trapped Ions
• Programmable quantum simulations on a trapped-ions quantum simulator with a global drive
• Anisotropy-assisted thermodynamic advantage of a local-spin thermal machine
• Symmetric quantum states: a review of recent progress
• Optimal remote restoring of quantum states in communication lines via local magnetic field
• The superconducting circuit companion -- an introduction with worked examples
• Spin-boson model under dephasing: Markovian vs Non-Markovian dynamics
• Interaction graph engineering in trapped-ion quantum simulators with global drives
• Universal Quantum Computation by Scattering in the Fermi-Hubbard Model
• Probing the Lee-Yang zeros of a spin bath by correlation functions and entanglement of two spins
• Simplicity of mean-field theories in neural quantum states
• Non-equilibrium phonon dynamics in trapped ion systems
• Quantum thermometry for ultralow temperatures using probe and ancilla qubit chains
• Probing Polariton Dynamics in Trapped Ions with Phase-Coherent Two-Dimensional Spectroscopy
• Quantum Simulation of Simple Many-Body Dynamics
• Proposal for high-fidelity quantum simulation using a hybrid dressed state
• The Measurement-induced Transition in Long-range Interacting Quantum Circuits
• Perturbative approach to the dynamics of a trapped ion interacting with a light field
• Family of exactly solvable models with an ultimative quantum paramagnetic ground state
• Steady state phonon occupation of EIT cooling: higher order calculations
• Achieving Heisenberg scaling by probe-ancilla interaction in quantum metrology
• Insights into Phase Transitions and Entanglement from Density Functional Theory
• Spectral Signatures of Vibronic Coupling in Trapped Cold Ionic Rydberg Systems
• Time and spatial parity operations with trapped ions
• Topological phase and lattice structures in spin chain models
• Exploring Disordered Quantum Spin Models with a Multi-Layer Multi-Configurational Approach
• Quantum simulation dynamics and circuit synthesis of FMO complex on an NMR quantum computer
• Quantum simulation of the Riemann-Hurwitz zeta function
• Dynamics of strongly coupled disordered dissipative spin-boson systems
• Molecular machines for quantum error correction
• A modular entanglement-based quantum computer architecture
• Simple Hamiltonian dynamics is a powerful quantum processing resource
• Trapped-ion quantum simulation of tunable-range Heisenberg chains
• Toward simulating quantum field theories with controlled phonon-ion dynamics: A hybrid analog-digital approach
• Computational Characteristics of Random Field Ising Model with Long-Range Interaction
• Witnessing entanglement in hybrid systems
• Squeezed Dirac and Topological Magnons in a Bosonic Honeycomb Optical Lattice
• Engineering holography with stabilizer graph codes
• Discontinuous codimension-two bifurcation in a Vlasov equation
• Simulating Quantum Magnetism with Correlated Non-Neutral Ion Plasmas
• The Interspersed Spin Boson Lattice Model
• Quantum coherence assisted dynamical phase transition
• Simulating spin systems with Majorana networks
• Switchable Particle Statistics with an Embedding Quantum Simulator
• Spin dynamics in finite cyclic XY model
• Majorana modes in trapped-ion system and their Floquet engineering
• Non-equilibrium physics of Rydberg lattices in the presence of noise and dissipative processes
• Geodesic Algorithm for Unitary Gate Design with Time-Independent Hamiltonians
• Thermalization of the Lipkin-Meshkov-Glick model in blackbody radiation
• Domain formation and structural stabilities in mixed-species Coulomb crystals induced by sympathetically cooled highly charged ions
• Quantum phases of collective SU(3) spin systems with bipartite symmetry
• Quantum sensing with ultracold simulators in lattice and ensemble systems: a review
• Fast Laser Cooling Using Optimal Quantum Control
• A novel class of translationally invariant spin chains with long-range interactions
• Non-invasive measurement of currents in analog quantum simulators
• Quantum state transfer using 1D Heisenberg Hamiltonian on quasi-1D lattices
• Effective spin physics in two-dimensional cavity QED arrays
• Probing Majorana Modes via Local Spin Dynamics
• Scalable quantum computation architecture using always-on Ising interactions via quantum feedforward
• Efficient preparation of the AKLT State with Measurement-based Imaginary Time Evolution
• Estimating many properties of a quantum state via quantum reservoir processing
• Quadratic band touching with long range interactions in and out of equilibrium
• Controlling atomic spin-mixing via multiphoton transitions in a cavity
• Separability and parity transitions in $XYZ$ spin systems under nonuniform fields
• Analogue quantum simulation of superradiance and subradiance in trapped-ions
• Analyzing the spectral density of a perturbed analog quantum simulator using Keldysh formalism
• Topological phases of shaken quantum Ising lattices
• Quantum Simulation of Non-perturbative Cavity QED with Trapped Ions
• The local detection method: Dynamical detection of quantum discord with local operations
• Propagation of local excitations through strongly correlated quantum chains
• Quantifying the influence of the initial state on the dynamics of an open quantum system
• Robust Estimation of Nonlinear Properties of Quantum Processes
• Towards generation of cat states in trapped ions set-ups via FAQUAD protocols and dynamical decoupling
• Long-range Ising interactions mediated by $\lambda {\varphi }^4$ fields: probing the renormalisation of sound in crystals of trapped ions
• Inducing critical phenomena in spin chains through sparse alternating fields
• Pair entanglement in dimerized spin-s chains
• Exactly Solvable 1D Quantum Models with Gamma Matrices
• Parity symmetry and parity breaking in the quantum Rabi model with addition of Ising interaction
• Many body population trapping in ultracold dipolar gases
• Efficient quantum simulation of fermionic and bosonic models in trapped ions
• Feasibility of the ion-trap simulation of a class of non-equilibrium phase transitions
• Implementation of a two-qubit state by an auxiliary qubit on the three-spin system
• Engineering an Effective Three-spin Hamiltonian in Trapped-ion Systems for Applications in Quantum Simulation
• Deep Boundary Perturbations at a Quantum Critical Point
• Remotely detecting the signal of a local decohering process in spin chains
• Ring-exchange physics in a chain of three-level ions
• Impact of micromotion and field-axis misalignment on the excitation of Rydberg states of ions in a Paul trap
• Quantum thermal machine regimes in the transverse-field Ising model
• Ab-Initio Approach to Many-Body Quantum Spin Dynamics
• Heat current magnification in Classical and Quantum spin networks
• Tripartite quantum Rabi model with trapped Rydberg ions
• On the complex behaviour of the density in composite quantum systems
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Theory of phonon dynamics in an ion trap
• Security of quantum position-verification limits Hamiltonian simulation via holography
• Current circulation near additional energy degeneracy points in quadratic Fermionic networks
• Entanglement of weighted graphs uncovers transitions in variable-range interacting models
• Effect of long-range hopping on dynamic quantum phase transitions of an exactly solvable free-fermion model: Nonanalyticities at almost all times
• Absence of Correlations in Dissipative Interacting Qubits: a No-Go Theorem
• Estimating entanglement in 2D Heisenberg model in the strong rung-coupling limit
• Anomalous decoherence effects in driven coupled quantum spin systems
• Logarithmic growth of peripheral entanglement concentrated via noisy measurements in a star network of spins
• Multi-ion Mach-Zehnder interferometer with artificial nonlinear interactions
• Qubits on programmable geometries with a trapped-ion quantum processor
• Robustness of the projected squeezed state protocol
• Dissipation-assisted quantum correlations in coupled qubits
• Quantum computation with logical gates between hot systems
• Extended edge modes and disorder preservation of a symmetry-protected topological phase out of equilibrium
• Covariance-based method for eigenstate factorization and generalized singlets
• Quantum Zeno Dynamics of Two Interacting Particles
• Boundary-induced singularity in strongly-correlated quantum systems at finite temperature
• Quasi-probability distribution of work in a measurement-based quantum Otto engine
• Topological Classification of Dynamical Quantum Phase Transitions in the 1D XY model via Critical Mode Analysis
• Mutual information-energy inequality for thermal states of a bipartite quantum system
• Entanglement across sliding-pinned transition of ion chains in optical cavities
• Fokker-Planck treatment of nonlinearities in the dispersive coupling of an ion and an optical cavity
• Spatial structure of magnetic polarons in strongly interacting antiferromagnets
• Homogeneous Linear Ion Crystal in a Hybrid Potential
• Two-particle topological Thouless spin pump
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $\lambda {\varphi }^4$ model
• A quantum heat exchanger for nanotechnology
• Analytically Continuing the Randomized Measurement Toolbox
• Tight bound for the total time in digital-analog quantum computation
• Endcap-Type Paul Trap for Precision Spectroscopy and Studies of Controlled Interactions
• Periodic dynamics in an Ising chain with a quadratic transverse field
• Approaching the scaling limit of transport through lattices with dephasing
• Nonlocal pseudospin dynamics in a quantum Ising chain
• From Quantum Optics to Quantum Technologies
• Onset of Entanglement and Noise Cross-Correlations in Two-Qubit System Interacting with Common Bosonic Bath
• Quantum equilibration of a model system Porphine
• Ion crystals in anharmonic traps
• Mapping quantum chemical dynamics problems onto spin-lattice simulators
• Exact solution of a family of staggered Heisenberg chains with conclusive pretty good quantum state transfer
• Relativistic meson spectra on ion-trap quantum simulators
• Transforming spin chains with a continuous driving field
• Preparation of two-qubit entangled states on a spin-1/2 Ising-Heisenberg diamond spin cluster by controlling the measurement
• Protective measurement of a qubit by a qubit probe
• Revealing effects of local dimension on variable-range interacting model by connecting Lieb-Robinson bounds and multipartite entanglement
• The $\mathcal{P}\mathcal{T}$-symmetry-breaking transition in a chain of trapped interacting ions
• Theoretical study on thermalization in isolated quantum systems
• A graphene edge-mediated quantum gate
• Higher-order topological quantum paramagnets
• Spin and thermal current scaling at a $Y$-junction of XX spin chains
• Modified Quantum Wheatstone Bridge based on current circulation
• Bounded-Error Quantum Simulation via Hamiltonian and Lindbladian Learning