Non-Abelian Floquet Spin Liquids in a Digital Rydberg Simulator
- URL: http://arxiv.org/abs/2211.00017v2
- Date: Mon, 17 Apr 2023 17:41:03 GMT
- Title: Non-Abelian Floquet Spin Liquids in a Digital Rydberg Simulator
- Authors: Marcin Kalinowski, Nishad Maskara, Mikhail D. Lukin
- Abstract summary: We introduce and analyze a new approach to simulating topological matter based on periodic driving.
We show that this approach, including the toolbox for preparation, control, and readout of topological states, can be efficiently implemented in state-of-the-art experimental platforms.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Understanding topological matter is an outstanding challenge across several
disciplines of physical science. Programmable quantum simulators have emerged
as a powerful approach to studying such systems. While quantum spin liquids of
paradigmatic toric code type have recently been realized in the laboratory,
controlled exploration of topological phases with non-abelian excitations
remains an open problem. We introduce and analyze a new approach to simulating
topological matter based on periodic driving. Specifically, we describe a model
for a so-called Floquet spin liquid, obtained through a periodic sequence of
parallel quantum gate operations that effectively simulates the Hamiltonian of
the non-abelian spin liquid in Kitaev's honeycomb model. We show that this
approach, including the toolbox for preparation, control, and readout of
topological states, can be efficiently implemented in state-of-the-art
experimental platforms. One specific implementation scheme is based on Rydberg
atom arrays and utilizes recently demonstrated coherent qubit transport
combined with controlled-phase gate operations. We describe methods for probing
the non-abelian excitations, and the associated Majorana zero modes, and
simulate possible fusion and braiding experiments. Our analysis demonstrates
the potential of programmable quantum simulators for exploring topological
phases of matter. Extensions including simulation of Kitaev materials and
lattice gauge theories are also discussed.
Related papers
- Quantum simulation of generic spin exchange models in Floquet-engineered
Rydberg atom arrays [0.0]
We propose a new route towards simulating generic spin exchange Hamiltonians in atom arrays.
We numerically investigate the generation of several spin exchange models which have yet to be realized in atom arrays.
arXiv Detail & Related papers (2023-06-12T11:40:29Z) - Engineering and probing non-Abelian chiral spin liquids using
periodically driven ultracold atoms [0.0]
We propose a scheme to implement Kitaev's honeycomb model with cold atoms, based on a periodic (Floquet) drive.
We derive the effective Hamiltonian to leading order in the inverse-frequency expansion, and show that the drive opens up a topological gap in the spectrum.
We address the challenge of probing the physics of Majorana fermions, while having only access to the original composite spin degrees of freedom.
arXiv Detail & Related papers (2022-11-17T18:51:49Z) - Measuring quantum geometric tensor of non-Abelian system in
superconducting circuits [21.82634956452952]
We use a four-qubit quantum system in superconducting circuits to construct a degenerate Hamiltonian with parametric modulation.
We reveal its topological feature by extracting the topological invariant, demonstrating an effective protocol for quantum simulation of a non-Abelian system.
arXiv Detail & Related papers (2022-09-26T01:08:39Z) - Probing finite-temperature observables in quantum simulators of spin
systems with short-time dynamics [62.997667081978825]
We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality.
We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
arXiv Detail & Related papers (2022-06-03T18:00:02Z) - Tuning long-range fermion-mediated interactions in cold-atom quantum
simulators [68.8204255655161]
Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior.
Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
arXiv Detail & Related papers (2022-03-31T13:32:12Z) - Accessing the topological Mott insulator in cold atom quantum simulators
with realistic Rydberg dressing [58.720142291102135]
We investigate a realistic scenario for the quantum simulation of such systems using cold Rydberg-dressed atoms in optical lattices.
We perform a detailed analysis of the phase diagram at half- and incommensurate fillings, in the mean-field approximation.
We furthermore study the stability of the phases with respect to temperature within the mean-field approximation.
arXiv Detail & Related papers (2022-03-28T14:55:28Z) - Spin many-body phases in standard and topological waveguide QED
simulators [68.8204255655161]
We study the many-body behaviour of quantum spin models using waveguide QED setups.
We find novel many-body phases different from the ones obtained in other platforms.
arXiv Detail & Related papers (2021-06-22T09:44:20Z) - Visualizing spinon Fermi surfaces with time-dependent spectroscopy [62.997667081978825]
We propose applying time-dependent photo-emission spectroscopy, an established tool in solid state systems, in cold atom quantum simulators.
We show in exact diagonalization simulations of the one-dimensional $t-J$ model that the spinons start to populate previously unoccupied states in an effective band structure.
The dependence of the spectral function on the time after the pump pulse reveals collective interactions among spinons.
arXiv Detail & Related papers (2021-05-27T18:00:02Z) - Probing Topological Spin Liquids on a Programmable Quantum Simulator [40.96261204117952]
We use a 219-atom programmable quantum simulator to probe quantum spin liquid states.
In our approach, arrays of atoms are placed on the links of a kagome lattice and evolution under Rydberg blockade creates frustrated quantum states.
The onset of a quantum spin liquid phase of the paradigmatic toric code type is detected by evaluating topological string operators.
arXiv Detail & Related papers (2021-04-09T00:18:12Z) - Digital Quantum Simulation of Floquet Topological Phases with a
Solid-State Quantum Simulator [13.134817887361317]
We develop and experimentally realize the digital quantum simulation of topological phase with a solid-state quantum simulator at room temperature.
We also illustrate the procedure of digitally simulating a quantum quench and observing the nonequilibrium dynamics of Floquet topological phases.
arXiv Detail & Related papers (2020-12-10T07:42:39Z) - State preparation and measurement in a quantum simulation of the O(3)
sigma model [65.01359242860215]
We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site.
We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes.
We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
arXiv Detail & Related papers (2020-06-28T23:44:12Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.