362 research outputs found
Non-thermalization in trapped atomic ion spin chains
Linear arrays of trapped and laser cooled atomic ions are a versatile
platform for studying emergent phenomena in strongly-interacting many-body
systems. Effective spins are encoded in long-lived electronic levels of each
ion and made to interact through laser mediated optical dipole forces. The
advantages of experiments with cold trapped ions, including high spatiotemporal
resolution, decoupling from the external environment, and control over the
system Hamiltonian, are used to measure quantum effects not always accessible
in natural condensed matter samples. In this review we highlight recent work
using trapped ions to explore a variety of non-ergodic phenomena in long-range
interacting spin-models which are heralded by memory of out-of-equilibrium
initial conditions. We observe long-lived memory in static magnetizations for
quenched many-body localization and prethermalization, while memory is
preserved in the periodic oscillations of a driven discrete time crystal state.Comment: 14 pages, 5 figures, submitted for edition of Phil. Trans. R. Soc. A
on "Breakdown of ergodicity in quantum systems
Simulating Quantum Magnetism with Correlated Non-Neutral Ion Plasmas
By employing forces that depend on the internal electronic state (or spin) of
an atomic ion, the Coulomb potential energy of a strongly coupled array of ions
can be modified in a spin-dependent way to mimic effective quantum spin
Hamiltonians. Both ferromagnetic and antiferromagnetic interactions can be
implemented. We use simple models to explain how the effective spin
interactions are engineered with trapped-ion crystals. We summarize the type of
effective spin interactions that can be readily generated, and discuss an
experimental implementation using single-plane ion crystals in a Penning trap.Comment: 10 pages, 5 figures, to be published in the Proceedings of 10th
International Workshop on Non-Neutral Plasma
Creation of two-dimensional coulomb crystals of ions in oblate Paul traps for quantum simulations
We develop the theory to describe the equilibrium ion positions and phonon
modes for a trapped ion quantum simulator in an oblate Paul trap that creates
two-dimensional Coulomb crystals in a triangular lattice. By coupling the
internal states of the ions to laser beams propagating along the symmetry axis,
we study the effective Ising spin-spin interactions that are mediated via the
axial phonons and are less sensitive to ion micromotion. We find that the axial
mode frequencies permit the programming of Ising interactions with inverse
power law spin-spin couplings that can be tuned from uniform to with
DC voltages. Such a trap could allow for interesting new geometrical
configurations for quantum simulations on moderately sized systems including
frustrated magnetism on triangular lattices or Aharonov-Bohm effects on ion
tunneling. The trap also incorporates periodic boundary conditions around loops
which could be employed to examine time crystals.Comment: 17 pages, 8 figures, submitted to the journal EPJ Quantum Technology
for the thematic Series on Quantum Simulation
Entanglement growth in quench dynamics with variable range interactions
Studying entanglement growth in quantum dynamics provides both insight into
the underlying microscopic processes and information about the complexity of
the quantum states, which is related to the efficiency of simulations on
classical computers. Recently, experiments with trapped ions, polar molecules,
and Rydberg excitations have provided new opportunities to observe dynamics
with long-range interactions. We explore nonequilibrium coherent dynamics after
a quantum quench in such systems, identifying qualitatively different behavior
as the exponent of algebraically decaying spin-spin interactions in a
transverse Ising chain is varied. Computing the build-up of bipartite
entanglement as well as mutual information between distant spins, we identify
linear growth of entanglement entropy corresponding to propagation of
quasiparticles for shorter range interactions, with the maximum rate of growth
occurring when the Hamiltonian parameters match those for the quantum phase
transition. Counter-intuitively, the growth of bipartite entanglement for
long-range interactions is only logarithmic for most regimes, i.e.,
substantially slower than for shorter range interactions. Experiments with
trapped ions allow for the realization of this system with a tunable
interaction range, and we show that the different phenomena are robust for
finite system sizes and in the presence of noise. These results can act as a
direct guide for the generation of large-scale entanglement in such
experiments, towards a regime where the entanglement growth can render existing
classical simulations inefficient.Comment: 17 pages, 7 figure
Simulating generic spin-boson models with matrix product states
The global coupling of few-level quantum systems ("spins") to a discrete set
of bosonic modes is a key ingredient for many applications in quantum science,
including large-scale entanglement generation, quantum simulation of the
dynamics of long-range interacting spin models, and hybrid platforms for force
and spin sensing. We present a general numerical framework for treating the
out-of-equilibrium dynamics of such models based on matrix product states. Our
approach applies for generic spin-boson systems: it treats any spatial and
operator dependence of the two-body spin-boson coupling and places no
restrictions on relative energy scales. We show that the full counting
statistics of collective spin measurements and infidelity of quantum simulation
due to spin-boson entanglement, both of which are difficult to obtain by other
techniques, are readily calculable in our approach. We benchmark our method
using a recently developed exact solution for a particular spin-boson coupling
relevant to trapped ion quantum simulators. Finally, we show how decoherence
can be incorporated within our framework using the method of quantum
trajectories, and study the dynamics of an open-system spin-boson model with
spatially non-uniform spin-boson coupling relevant for trapped atomic ion
crystals in the presence of molecular ion impurities.Comment: 13 pages+refs. 13 figure
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