3,227 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
Optimized dynamical control of state transfer through noisy spin chains
We propose a method of optimally controlling the tradeoff of speed and
fidelity of state transfer through a noisy quantum channel (spin-chain). This
process is treated as qubit state-transfer through a fermionic bath. We show
that dynamical modulation of the boundary-qubits levels can ensure state
transfer with the best tradeoff of speed and fidelity. This is achievable by
dynamically optimizing the transmission spectrum of the channel. The resulting
optimal control is robust against both static and fluctuating noise in the
channel's spin-spin couplings. It may also facilitate transfer in the presence
of diagonal disorder (on site energy noise) in the channel.Comment: 20 pages, 5 figures. arXiv admin note: text overlap with
arXiv:1310.162
Simulating open quantum systems: from many-body interactions to stabilizer pumping
In a recent experiment, Barreiro et al. demonstrated the fundamental building
blocks of an open-system quantum simulator with trapped ions [Nature 470, 486
(2011)]. Using up to five ions, single- and multi-qubit entangling gate
operations were combined with optical pumping in stroboscopic sequences. This
enabled the implementation of both coherent many-body dynamics as well as
dissipative processes by controlling the coupling of the system to an
artificial, suitably tailored environment. This engineering was illustrated by
the dissipative preparation of entangled two- and four-qubit states, the
simulation of coherent four-body spin interactions and the quantum
non-demolition measurement of a multi-qubit stabilizer operator. In the present
paper, we present the theoretical framework of this gate-based ("digital")
simulation approach for open-system dynamics with trapped ions. In addition, we
discuss how within this simulation approach minimal instances of spin models of
interest in the context of topological quantum computing and condensed matter
physics can be realized in state-of-the-art linear ion-trap quantum computing
architectures. We outline concrete simulation schemes for Kitaev's toric code
Hamiltonian and a recently suggested color code model. The presented simulation
protocols can be adapted to scalable and two-dimensional ion-trap
architectures, which are currently under development.Comment: 27 pages, 9 figures, submitted to NJP Focus on Topological Quantum
Computatio
Interacting Qubit-Photon Bound States with Superconducting Circuits
Qubits strongly coupled to a photonic crystal give rise to many exotic
physical scenarios, beginning with single and multi-excitation qubit-photon
dressed bound states comprising induced spatially localized photonic modes,
centered around the qubits, and the qubits themselves. The localization of
these states changes with qubit detuning from the band-edge, offering an avenue
of in situ control of bound state interaction. Here, we present experimental
results from a device with two qubits coupled to a superconducting microwave
photonic crystal and realize tunable on-site and inter-bound state
interactions. We observe a fourth-order two photon virtual process between
bound states indicating strong coupling between the photonic crystal and
qubits. Due to their localization-dependent interaction, these states offer the
ability to create one-dimensional chains of bound states with tunable and
potentially long-range interactions that preserve the qubits' spatial
organization, a key criterion for realization of certain quantum many-body
models. The widely tunable, strong and robust interactions demonstrated with
this system are promising benchmarks towards realizing larger, more complex
systems of bound states
Simulation of Classical Thermal States on a Quantum Computer: A Transfer Matrix Approach
We present a hybrid quantum-classical algorithm to simulate thermal states of
a classical Hamiltonians on a quantum computer. Our scheme employs a sequence
of locally controlled rotations, building up the desired state by adding qubits
one at a time. We identify a class of classical models for which our method is
efficient and avoids potential exponential overheads encountered by Grover-like
or quantum Metropolis schemes. Our algorithm also gives an exponential
advantage for 2D Ising models with magnetic field on a square lattice, compared
with the previously known Zalka's algorithm.Comment: 5 pages, 3 figures; (new in version 2: added new figure, title
changed, rearranged paragraphs
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