Quantum Simulation of an Extended Fermi-Hubbard Model Using a 2D Lattice
of Dopant-based Quantum Dots
- URL: http://arxiv.org/abs/2110.08982v1
- Date: Mon, 18 Oct 2021 02:24:05 GMT
- Title: Quantum Simulation of an Extended Fermi-Hubbard Model Using a 2D Lattice
of Dopant-based Quantum Dots
- Authors: Xiqiao Wang, Ehsan Khatami, Fan Fei, Jonathan Wyrick, Pradeep
Namboodiri, Ranjit Kashid, Albert F. Rigosi, Garnett Bryant, Richard Silver
- Abstract summary: The Hubbard model is one of the primary models for understanding the essential many-body physics in condensed matter systems.
Recent advances in atomically precise fabrication in silicon have made possible atom-by-atom fabrication of single and few-dopant quantum dots.
We demonstrate the analog quantum simulation of a 2D extended Fermi-Hubbard Hamiltonian using STM-fabricated 3x3 arrays of single/few-dopant quantum dots.
- Score: 5.046411982403706
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The Hubbard model is one of the primary models for understanding the
essential many-body physics in condensed matter systems such as Mott insulators
and cuprate high-Tc superconductors. Recent advances in atomically precise
fabrication in silicon using scanning tunneling microscopy (STM) have made
possible atom-by-atom fabrication of single and few-dopant quantum dots and
atomic-scale control of tunneling in dopant-based devices. However, the complex
fabrication requirements of multi-component devices have meant that emulating
two-dimensional (2D) Fermi-Hubbard physics using these systems has not been
demonstrated. Here, we overcome these challenges by integrating the latest
developments in atomic fabrication and demonstrate the analog quantum
simulation of a 2D extended Fermi-Hubbard Hamiltonian using STM-fabricated 3x3
arrays of single/few-dopant quantum dots. We demonstrate low-temperature
quantum transport and tuning of the electron ensemble using in-plane gates as
efficient probes to characterize the many-body properties, such as charge
addition, tunnel coupling, and the impact of disorder within the array. By
controlling the array lattice constants with sub-nm precision, we demonstrate
tuning of the hopping amplitude and long-range interactions and observe the
finite-size analogue of a transition from Mott insulating to metallic behavior
in the array. By increasing the measurement temperature, we simulate the effect
of thermally activated hopping and Hubbard band formation in transport
spectroscopy. We compare the analog quantum simulations with numerically
simulated results to help understand the energy spectrum and resonant tunneling
within the array. The results demonstrated in this study serve as a launching
point for a new class of engineered artificial lattices to simulate the
extended Fermi-Hubbard model of strongly correlated materials.
Related papers
- Analog Quantum Simulator of a Quantum Field Theory with Fermion-Spin Systems in Silicon [34.80375275076655]
Mapping fermions to qubits is challenging in $2+1$ and higher spacetime dimensions.
We propose a native fermion-(large-)spin analog quantum simulator by utilizing dopant arrays in silicon.
arXiv Detail & Related papers (2024-07-03T18:00:52Z) - Local control and mixed dimensions: Exploring high-temperature superconductivity in optical lattices [0.8453109131640921]
Local control and optical bilayer capabilities combined with spatially resolved measurements create a versatile toolbox.
We show how coherent pairing correlations can be accessed in a partially particle-hole transformed and rotated basis.
Finally, we introduce a scheme to measure momentum-resolved dopant densities, providing access to observables complementary to solid-state experiments.
arXiv Detail & Related papers (2024-06-04T17:59:45Z) - 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) - Antiferromagnetic bosonic $t$-$J$ models and their quantum simulation in tweezer arrays [0.0]
We propose an experimental scheme to realize bosonic t-J models via encoding the local Hilbert space in a set of three internal atomic or molecular states.
By engineering antiferromagnetic (AFM) couplings between spins, competition between charge motion and magnetic order similar to that in high-$T_c$ cuprates can be realized.
arXiv Detail & Related papers (2023-05-03T17:59:59Z) - Ergodicity Breaking Under Confinement in Cold-Atom Quantum Simulators [1.3367376307273382]
We consider the spin-$1/2$ quantum link formulation of $1+1$D quantum electrodynamics with a topological $theta$-angle.
We show an interplay between confinement and the ergodicity-breaking paradigms of quantum many-body scarring and Hilbert-space fragmentation.
arXiv Detail & Related papers (2023-01-18T19:00:01Z) - Quantum emulation of the transient dynamics in the multistate
Landau-Zener model [50.591267188664666]
We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity.
Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
arXiv Detail & Related papers (2022-11-26T15:04:11Z) - Trapped-Ion Quantum Simulation of Collective Neutrino Oscillations [55.41644538483948]
We study strategies to simulate the coherent collective oscillations of a system of N neutrinos in the two-flavor approximation using quantum computation.
We find that the gate complexity using second order Trotter- Suzuki formulae scales better with system size than with other decomposition methods such as Quantum Signal Processing.
arXiv Detail & Related papers (2022-07-07T09:39:40Z) - 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) - Detecting Confined and Deconfined Spinons in Dynamical Quantum
Simulations [2.526646643978384]
Dynamical spin-structure factor (DSF) contains fingerprint information of collective excitations in quantum spin systems.
It is challenging to compute the spectral properties accurately via many-body simulations.
We establish a link between the many-body dynamics and quantum simulations by studying the non-equilibrium DSF.
arXiv Detail & Related papers (2021-10-05T17:50:12Z) - Quantum Sensors for Microscopic Tunneling Systems [58.720142291102135]
tunneling Two-Level-Systems (TLS) are important for micro-fabricated quantum devices such as superconducting qubits.
We present a method to characterize individual TLS in virtually arbitrary materials deposited as thin-films.
Our approach opens avenues for quantum material spectroscopy to investigate the structure of tunneling defects.
arXiv Detail & Related papers (2020-11-29T09:57:50Z) - Engineering analog quantum chemistry Hamiltonians using cold atoms in
optical lattices [69.50862982117127]
We benchmark the working conditions of the numerically analog simulator and find less demanding experimental setups.
We also provide a deeper understanding of the errors of the simulation appearing due to discretization and finite size effects.
arXiv Detail & Related papers (2020-11-28T11:23:06Z)
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.