Floquet Hamiltonian Engineering of an Isolated Many-Body Spin System
- URL: http://arxiv.org/abs/2105.01597v1
- Date: Tue, 4 May 2021 16:09:00 GMT
- Title: Floquet Hamiltonian Engineering of an Isolated Many-Body Spin System
- Authors: Sebastian Geier, Nithiwadee Thaicharoen, Cl\'ement Hainaut, Titus
Franz, Andre Salzinger, Annika Tebben, David Grimshandl, Gerhard Z\"urn,
Matthias Weidem\"uller
- Abstract summary: Controlling interactions is the key element for quantum engineering of many-body systems.
We show how to transform a naturally given many-body Hamiltonian of a closed quantum system into an effective target Hamiltonian exhibiting vastly different dynamics.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Controlling interactions is the key element for quantum engineering of
many-body systems. Using time-periodic driving, a naturally given many-body
Hamiltonian of a closed quantum system can be transformed into an effective
target Hamiltonian exhibiting vastly different dynamics. We demonstrate such
Floquet engineering with a system of spins represented by Rydberg states in an
ultracold atomic gas. Applying a sequence of spin manipulations, we change the
symmetry properties of the effective Heisenberg XYZ Hamiltonian. As a
consequence, the relaxation behavior of the total spin is drastically modified.
The observed dynamics can be qualitatively captured by a semi-classical
simulation. Synthesising a wide range of Hamiltonians opens vast opportunities
for implementing quantum simulation of non-equilibrium dynamics in a single
experimental setting.
Related papers
- Hamiltonian learning quantum magnets with non-local impurity tomography [0.0]
Impurities in quantum materials have provided successful strategies for learning properties of complex states.
We show how a supervised machine-learning technique can be used to infer Hamiltonian parameters from atomically engineered quantum magnets.
arXiv Detail & Related papers (2024-12-10T16:57:07Z) - Oscillatory dissipative tunneling in an asymmetric double-well potential [32.65699367892846]
Chemical research will benefit from a fully adjustable, asymmetric double-well equipped with precise measurement capabilities of the tunneling rates.
We show a quantum simulator system that consists of a continuously driven Kerr parametric oscillator with a third order non-linearity that can be operated in the quantum regime to create a fully asymmetric double-well.
Our work is a first step for the development of analog molecule simulators of proton transfer reactions based on quantum superconducting circuits.
arXiv Detail & Related papers (2024-09-19T22:43:07Z) - Fourier Neural Operators for Learning Dynamics in Quantum Spin Systems [77.88054335119074]
We use FNOs to model the evolution of random quantum spin systems.
We apply FNOs to a compact set of Hamiltonian observables instead of the entire $2n$ quantum wavefunction.
arXiv Detail & Related papers (2024-09-05T07:18:09Z) - Magnetization in a non-equilibrium quantum spin system [0.0]
We show that the effective non-Hermitian Hamiltonian can accurately represent the long-term dynamics of a critical two-level open quantum system.
The NESS is identical to the coalescent state of the effective non-Hermitian Hamiltonian.
This discovery paves the way for a better understanding of the long-term dynamics of critical open quantum systems.
arXiv Detail & Related papers (2024-06-01T02:16:24Z) - Quantum dynamics of a fully-blockaded Rydberg atom ensemble [0.0]
We study an ensemble of strongly interacting atoms with permutation symmetry.
We apply this formalism to derive efficient pulse sequences to prepare arbitrary permutation-invariant quantum states.
Our results create new opportunities for the experimental and theoretical study of large interacting and nonintegrable quantum systems.
arXiv Detail & Related papers (2023-11-30T15:15:46Z) - Realizing the entanglement Hamiltonian of a topological quantum Hall
system [10.092164351939825]
Topological quantum many-body systems, such as Hall insulators, are characterized by a hidden order encoded in the entanglement between their constituents.
Entanglement entropy, an experimentally accessible single number that globally quantifies entanglement, has been proposed as a first signature of topological order.
We use a synthetic dimension, encoded in the electronic spin of dysprosium atoms, to implement spatially deformed Hall systems.
arXiv Detail & Related papers (2023-07-12T15:40:06Z) - Robust Hamiltonian Engineering for Interacting Qudit Systems [50.591267188664666]
We develop a formalism for the robust dynamical decoupling and Hamiltonian engineering of strongly interacting qudit systems.
We experimentally demonstrate these techniques in a strongly-interacting, disordered ensemble of spin-1 nitrogen-vacancy centers.
arXiv Detail & Related papers (2023-05-16T19:12:41Z) - Experimental speedup of quantum dynamics through squeezing [0.0]
We show that a broad class of interactions involving quantum harmonic oscillators can be made stronger (amplified) using a unitary squeezing protocol.
Importantly, the protocol does not require knowledge of the parameters of the Hamiltonian to be amplified, nor does it require a well-defined phase relationship between the squeezing interaction and the rest of the system dynamics.
arXiv Detail & Related papers (2023-04-11T22:49:49Z) - 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) - Controlling many-body dynamics with driven quantum scars in Rydberg atom
arrays [41.74498230885008]
We experimentally investigate non-equilibrium dynamics following rapid quenches in a many-body system composed of 3 to 200 strongly interacting qubits in one and two spatial dimensions.
We discover that scar revivals can be stabilized by periodic driving, which generates a robust subharmonic response akin to discrete time-crystalline order.
arXiv Detail & Related papers (2020-12-22T19:00:02Z) - Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states.
Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
arXiv Detail & Related papers (2020-07-23T19:05:56Z)
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.