Digital Quantum Simulation of Floquet Topological Phases with a
Solid-State Quantum Simulator
- URL: http://arxiv.org/abs/2012.05495v1
- Date: Thu, 10 Dec 2020 07:42:39 GMT
- Title: Digital Quantum Simulation of Floquet Topological Phases with a
Solid-State Quantum Simulator
- Authors: Bing Chen, Shuo Li, Xianfei Hou, Feifei Zhou, Peng Qian, Feng Mei,
Suotang Jia, Nanyang Xu, and Heng Shen
- Abstract summary: 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.
- Score: 13.134817887361317
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum simulator with the ability to harness the dynamics of complex quantum
systems has emerged as a promising platform for probing exotic topological
phases. Since the flexibility offered by various controllable quantum systems
has enabled to gain insight into quantum simulation of such complicated
problems, analog quantum simulator has recently shown its feasibility to tackle
problems of exploring topological phases. However, digital quantum simulation
and detection of topological phases still remain elusive. Here, we develop and
experimentally realize the digital quantum simulation of topological phase with
a solid-state quantum simulator at room temperature. Distinct from previous
works dealing with static topological phases, the topological phases emulated
here are Floquet topological phases. Furthermore, we also illustrate the
procedure of digitally simulating a quantum quench and observing the
nonequilibrium dynamics of Floquet topological phases. By means of quantum
quench, the 0- and {\pi}-energy topological invariants are unambiguously
detected through measuring time-averaged spin polarizations. Our experiment
opens up a new avenue to digitally simulate and detect Floquet topological
phases with fast-developed programmable quantum simulators.
Related papers
- Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution.
We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions.
We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
arXiv Detail & Related papers (2024-05-27T17:40:39Z) - Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
We explore the applicability of quantum-data learning to practical problems in high-energy physics.
We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states.
The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
arXiv Detail & Related papers (2023-06-29T18:00:01Z) - Non-Abelian Floquet Spin Liquids in a Digital Rydberg Simulator [0.0]
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.
arXiv Detail & Related papers (2022-10-31T18:00:01Z) - 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) - 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) - Quantum Simulation of Chiral Phase Transitions [62.997667081978825]
We construct a quantum simulation for the $(+1)$ dimensional NJL model at finite temperature and finite chemical potential.
We observe consistency among digital quantum simulation, exact diagonalization, and analytical solution, indicating further applications of quantum computing in simulating QCD thermodynamics.
arXiv Detail & Related papers (2021-12-07T19:04:20Z) - Digital quantum simulation of dynamical topological invariants on
near-term quantum computers [0.0]
We simulate the quench dynamics of a one-dimensional system on IBM Q devices.
The results show that despite the noise present in the current quantum computers, the dynamical topological invariants are robust.
This study sheds light on the robustness of topological phases on the noisy intermediate-scale quantum computers.
arXiv Detail & Related papers (2021-07-25T14:30:30Z) - Quantum Markov Chain Monte Carlo with Digital Dissipative Dynamics on
Quantum Computers [52.77024349608834]
We develop a digital quantum algorithm that simulates interaction with an environment using a small number of ancilla qubits.
We evaluate the algorithm by simulating thermal states of the transverse Ising model.
arXiv Detail & Related papers (2021-03-04T18:21:00Z) - Digital Simulation of Topological Matter on Programmable Quantum
Processors [0.0]
We propose and demonstrate an approach to design topologically protected quantum circuits on the current generation of noisy quantum processors.
In particular, a low-depth topological quantum circuit is performed on both IBM and Rigetti quantum processors.
arXiv Detail & Related papers (2020-03-13T02:32:48Z) - Detecting dynamical quantum phase transition via out-of-time-order
correlations in a solid-state quantum simulator [12.059058714600607]
We develop and experimentally demonstrate that out-of-time-order correlators can be used to detect nonoequilibrium phase transitions in the transverse field Ising model.
Further applications of this protocol could enable studies other of exotic phenomena such as many body localization, and tests of the holographic duality between quantum and gravitational systems.
arXiv Detail & Related papers (2020-01-17T14:28:42Z) - Experimental Detection of the Quantum Phases of a Three-Dimensional
Topological Insulator on a Spin Quantum Simulator [4.614115414323219]
We investigate the three-dimensional topological insulators in the AIII (chiral unitary) symmetry class.
We experimentally demonstrate their topological properties, where a dynamical quenching approach is adopted.
As a result, the topological invariants are measured with high precision on the band-inversion surface.
arXiv Detail & Related papers (2020-01-15T03:51:48Z)
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.