Spin squeezing with short-range spin-exchange interactions
- URL: http://arxiv.org/abs/2006.00723v3
- Date: Sat, 12 Sep 2020 17:35:04 GMT
- Title: Spin squeezing with short-range spin-exchange interactions
- Authors: Michael A. Perlin and Chunlei Qu and Ana Maria Rey
- Abstract summary: We investigate many-body spin squeezing dynamics in an XXZ model with interactions that fall off with distance $r$ as $1/ralpha$ in $D=2$ and $3$ spatial dimensions.
A region of "collective" behavior in which optimal squeezing grows with system size extends all the way to the $alphatoinfty$ limit of nearest-neighbor interactions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate many-body spin squeezing dynamics in an XXZ model with
interactions that fall off with distance $r$ as $1/r^\alpha$ in $D=2$ and $3$
spatial dimensions. In stark contrast to the Ising model, we find a broad
parameter regime where spin squeezing comparable to the infinite-range
$\alpha=0$ limit is achievable even when interactions are short-ranged,
$\alpha>D$. A region of "collective" behavior in which optimal squeezing grows
with system size extends all the way to the $\alpha\to\infty$ limit of
nearest-neighbor interactions. Our predictions, made using the discrete
truncated Wigner approximation (DTWA), are testable in a variety of
experimental cold atomic, molecular, and optical platforms.
Related papers
- Observation of spin squeezing with contact interactions in one- and three-dimensional easy-plane magnets [0.7852714805965528]
Entanglement in a many-particle system can enable measurement sensitivities beyond that achievable by only classical correlations.
Here, we demonstrate spin squeezing with strictly short-range contact interactions.
arXiv Detail & Related papers (2024-09-25T22:16:31Z) - Projection by Convolution: Optimal Sample Complexity for Reinforcement Learning in Continuous-Space MDPs [56.237917407785545]
We consider the problem of learning an $varepsilon$-optimal policy in a general class of continuous-space Markov decision processes (MDPs) having smooth Bellman operators.
Key to our solution is a novel projection technique based on ideas from harmonic analysis.
Our result bridges the gap between two popular but conflicting perspectives on continuous-space MDPs.
arXiv Detail & Related papers (2024-05-10T09:58:47Z) - Improved Algorithm for Adversarial Linear Mixture MDPs with Bandit
Feedback and Unknown Transition [71.33787410075577]
We study reinforcement learning with linear function approximation, unknown transition, and adversarial losses.
We propose a new algorithm that attains an $widetildeO(dsqrtHS3K + sqrtHSAK)$ regret with high probability.
arXiv Detail & Related papers (2024-03-07T15:03:50Z) - Entanglement Entropy Growth in Disordered Spin Chains with Tunable Range
Interactions [0.0]
We study the effect of bond randomness in long-range interacting spin chains on the quantum quench dynamics.
For $alphaalpha_c$, we find that the entanglement entropy grows as a power-law with time.
arXiv Detail & Related papers (2023-03-04T13:27:56Z) - Nearest-neighbor approximation in one-excitation state evolution along
spin-1/2 chain governed by XX-Hamiltonian [0.0]
approximation of nearest neighbor interaction (NNI) is widely used in short-time spin dynamics with dipole-dipole interactions (DDI)
We consider the system with the intensity of the spin-spin interaction $sim 1/ralpha$, $alphage 3$, and find the low boundary $alpha_c$ of applicability of the NNI to the evolution of an arbitrary one-excitation initial quantum state in the homogeneous spin chain governed by the $XX$-Hamiltonian.
arXiv Detail & Related papers (2023-01-23T15:01:12Z) - Ion Trap Long-Range XY Model for Quantum State Transfer and Optimal
Spatial Search [0.5249805590164902]
Linear ion trap chains are a promising platform for quantum computation and simulation.
Lower $alpha$ leads to longer range interactions, allowing faster long-range gate operations for quantum computing.
We show how to correct for this effect completely, allowing lower $alpha$ interactions to be coherently implemented.
arXiv Detail & Related papers (2022-06-28T01:28:51Z) - A Law of Robustness beyond Isoperimetry [84.33752026418045]
We prove a Lipschitzness lower bound $Omega(sqrtn/p)$ of robustness of interpolating neural network parameters on arbitrary distributions.
We then show the potential benefit of overparametrization for smooth data when $n=mathrmpoly(d)$.
We disprove the potential existence of an $O(1)$-Lipschitz robust interpolating function when $n=exp(omega(d))$.
arXiv Detail & Related papers (2022-02-23T16:10:23Z) - Reward-Free Model-Based Reinforcement Learning with Linear Function
Approximation [92.99933928528797]
We study the model-based reward-free reinforcement learning with linear function approximation for episodic Markov decision processes (MDPs)
In the planning phase, the agent is given a specific reward function and uses samples collected from the exploration phase to learn a good policy.
We show that to obtain an $epsilon$-optimal policy for arbitrary reward function, UCRL-RFE needs to sample at most $tilde O(H4d(H + d)epsilon-2)$ episodes.
arXiv Detail & Related papers (2021-10-12T23:03:58Z) - Engineering infinite-range SU($n$) interactions with spin-orbit-coupled
fermions in an optical lattice [0.0]
We study multilevel fermions in an optical lattice described by the Hubbard model with on site SU($n$)-symmetric interactions.
Raman pulses that address internal spin states modify the atomic dispersion relation and induce spin-orbit coupling.
Our predictions are readily testable in current experiments with ultracold alkaline-earth(-like) atoms.
arXiv Detail & Related papers (2021-09-22T20:13:20Z) - Curse of Dimensionality on Randomized Smoothing for Certifiable
Robustness [151.67113334248464]
We show that extending the smoothing technique to defend against other attack models can be challenging.
We present experimental results on CIFAR to validate our theory.
arXiv Detail & Related papers (2020-02-08T22:02:14Z) - Anisotropy-mediated reentrant localization [62.997667081978825]
We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems.
We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
arXiv Detail & Related papers (2020-01-31T19:00:01Z)
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.