Quantum Spin Puddles and Lakes: NISQ-Era Spin Liquids from Non-Equilibrium Dynamics

• URL: http://arxiv.org/abs/2211.01381v1
• Date: Wed, 2 Nov 2022 18:00:01 GMT
• Title: Quantum Spin Puddles and Lakes: NISQ-Era Spin Liquids from Non-Equilibrium Dynamics
• Authors: Rahul Sahay, Ashvin Vishwanath, Ruben Verresen
• Abstract summary: We show how a simple parameter sweep can dynamically project a family of initial product states into the constrained space. We analytically and numerically show that this method efficiently prepares a spin liquid in finite-sized regions. Our work opens up a new avenue in the study of non-equilibrium physics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: While many-body systems can host long-ranged entangled quantum spin liquids (QSLs), the ingredients for realizing these as ground states can be prohibitively difficult. In many circumstances, one requires (i) a constrained Hilbert space and (ii) an extensive quantum superposition. The paradigmatic example is the toric code, or $\mathbb{Z}_2$ spin liquid, which is a superposition of closed loop states. We show how non-equilibrium Hamiltonian dynamics can provide a streamlined route toward creating such QSLs. Rather than cooling into the ground state of a Hamiltonian, we show how a simple parameter sweep can dynamically project a family of initial product states into the constrained space, giving rise to a QSL. For the toric code, this is achieved in systems with a separation in energy scales between the $e$- and $m$-anyons, where one can sweep in a way that is adiabatic (sudden) with respect to the former (latter). Although this separation of scales does not extend to the thermodynamic limit, we analytically and numerically show that this method efficiently prepares a spin liquid in finite-sized regions, which we brand ``quantum spin lakes.'' This mechanism elucidates recent experimental and numerical observations of the dynamical state preparation of the ruby lattice spin liquid in Rydberg atom arrays. In fact, the slow dynamics of $m$-anyons suggest that we can capture spin lake preparation by simulating the dynamics on tree lattices, which we confirm with tensor network simulations. Finally, we use this mechanism to propose new experiments, e.g., for preparing a finite-sized $U(1)$ spin liquid as a honeycomb Rokhsar-Kivelson dimer model using Rydberg atoms -- which is remarkable given its equilibrium counterpart is unstable in $2 + 1$D. Our work opens up a new avenue in the study of non-equilibrium physics, as well as the exploration of exotic states of finite extent in NISQ devices.

Related papers

• Optimizing random local Hamiltonians by dissipation [44.99833362998488]
  We prove that a simplified quantum Gibbs sampling algorithm achieves a $Omega(frac1k)$-fraction approximation of the optimum. Our results suggest that finding low-energy states for sparsified (quasi)local spin and fermionic models is quantumly easy but classically nontrivial.
  arXiv  Detail & Related papers  (2024-11-04T20:21:16Z)
• 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)
• Scattering Neutrinos, Spin Models, and Permutations [42.642008092347986]
  We consider a class of Heisenberg all-to-all coupled spin models inspired by neutrino interactions in a supernova with $N$ degrees of freedom. These models are characterized by a coupling matrix that is relatively simple in the sense that there are only a few, relative to $N$, non-trivial eigenvalues.
  arXiv  Detail & Related papers  (2024-06-26T18:27:15Z)
• Physics inspired quantum simulation of resonating valence bond states -- a prototypical template for a spin-liquid ground state [1.7563879056963012]
  We study a prototypical model -- a spin-$frac12$-unit cell of a Kagome anti-ferromagnet. We employ robust classical numerical techniques to identify the nature of the ground state. We demonstrate that the said ansatz is capable of accurately representing the target ground state even on a real IBMQ backend.
  arXiv  Detail & Related papers  (2023-08-11T19:34:47Z)
• Spin-$S$ $\mathrm{U}(1)$ Quantum Link Models with Dynamical Matter on a Quantum Simulator [3.1192594881563127]
  We present a bosonic mapping for the representation of gauge and electric fields with effective spin-$S$ operators. We then propose an experimental scheme for the realization of a large-scale spin-$1$ $mathrmU(1)$ QLM using spinless bosons in an optical superlattice.
  arXiv  Detail & Related papers  (2023-05-10T18:00:01Z)
• 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)
• Towards Neural Variational Monte Carlo That Scales Linearly with System Size [67.09349921751341]
  Quantum many-body problems are central to demystifying some exotic quantum phenomena, e.g., high-temperature superconductors. The combination of neural networks (NN) for representing quantum states, and the Variational Monte Carlo (VMC) algorithm, has been shown to be a promising method for solving such problems. We propose a NN architecture called Vector-Quantized Neural Quantum States (VQ-NQS) that utilizes vector-quantization techniques to leverage redundancies in the local-energy calculations of the VMC algorithm.
  arXiv  Detail & Related papers  (2022-12-21T19:00:04Z)
• Trimer quantum spin liquid in a honeycomb array of Rydberg atoms [0.0]
  We show the concrete realization of a fundamentally different class of spin liquids in a honeycomb array of Rydberg atoms. In the regime where third-nearest-neighbor atoms lie within the Rydberg blockade, we find a novel ground state. The fidelity of this trimer spin liquid state can be enhanced via dynamical preparation.
  arXiv  Detail & Related papers  (2022-11-01T18:00:00Z)
• Studying chirality imbalance with quantum algorithms [62.997667081978825]
  We employ the (1+1) dimensional Nambu-Jona-Lasinio (NJL) model to study the chiral phase structure and chirality charge density of strongly interacting matter. By performing the Quantum imaginary time evolution (QITE) algorithm, we simulate the (1+1) dimensional NJL model on the lattice at various temperature $T$ and chemical potentials $mu$, $mu_5$.
  arXiv  Detail & Related papers  (2022-10-06T17:12:33Z)
• Multipartite entangled states in dipolar quantum simulators [0.0]
  We show that the native Hamiltonian dynamics of state-of-the-art quantum simulation platforms can act as a robust source of multipartite entanglement. Our results suggest that the native Hamiltonian dynamics of state-of-the-art quantum simulation platforms, such as Rydberg-atom arrays, can act as a robust source of multipartite entanglement.
  arXiv  Detail & Related papers  (2022-05-08T16:23:48Z)
• 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)

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.