Wed·Nov 2, 2022Wednesday·November 2, 2022

1. 01*

   Improved lattice method for determining entanglement measures in SU(N) gauge theories

   Tobias Rindlisbacher🇨🇭 · Niko Jokela🇫🇮 · Arttu Pönni🇫🇮 · Kari Rummukainen🇫🇮 · Ahmed Salami🇫🇮

   The determination of entanglement measures in SU(N) gauge theories is a non-trivial task. With the so-called "replica trick", a family of entanglement measures, known as "Rényi entropies", can be determined with lattice Monte Carlo. Unfortunately, the standard implementation of the replica method for SU(N) lattice gauge theories suffers from a severe signal-to-noise ratio problem, rendering high-precision studies of Rényi entropies prohibitively expensive. In this work, we propose a method to overcome the signal-to-noise ratio problem and show some first results for SU(N) in 4 dimensions.

   hep-latPoS(2022)·16 citations
2. 02*

   Lattice field theory results for hybrid static potentials at short quark-antiquark separations and their parametrization

   Carolin Schlosser🇩🇪 · Sonja Köhler🇩🇪 · Marc Wagner🇩🇪

   We present SU(3) lattice Yang-Mills data for hybrid static potentials from five ensembles with different small lattice spacings and the corresponding parametrizations for quark-antiquark separations $0.08\text{fm}\le r\le 1.12\text{fm}$. We remove lattice discretization errors at tree level of perturbation theory and partly at order $a^2$ as well as the $a$-dependent self energy. In particular the tree-level improvement of static potentials is discussed in detail and two methods are compared. The resulting parametrizations are expected to represent continuum limit results for hybrid static potentials within statistical errors.

   hep-latPoS(2023)·2 citations
3. 03*

   Trimer quantum spin liquid in a honeycomb array of Rydberg atoms

   Milan Kornjača🇺🇸 · Rhine Samajdar · Tommaso Macrì · Nathan Gemelke · Sheng-Tao Wang🇺🇸 · Fangli Liu🇨🇳

   Quantum spin liquids are elusive but paradigmatic examples of strongly correlated quantum states that are characterized by long-range quantum entanglement. Recently, the direct signatures of a gapped topological ${\mathbb{Z}}_2$ spin liquid have been observed in a system of Rydberg atoms arrayed on the ruby lattice. Here, we illustrate the concrete realization of a fundamentally different class of spin liquids in a honeycomb array of Rydberg atoms. Exploring the quantum phase diagram of this system using both density-matrix renormalization group and exact diagonalization simulations, several density-wave-ordered phases are characterized and their origins explained. More interestingly, in the regime where third-nearest-neighbor atoms lie within the Rydberg blockade radius, we find a novel ground state -- with an emergent $\mathrm{U}(1)\times \mathrm{U}(1)$ local symmetry -- formed from superpositions of classical {\it trimer} configurations on the dual triangular lattice. The fidelity of this trimer spin liquid state can be enhanced via dynamical preparation, which we explain by a Rydberg-blockade-based projection mechanism associated with the smooth turnoff of the laser drive. Finally, we discuss the robustness of the trimer spin liquid phase under realistic experimental parameters and demonstrate that our proposal can be readily implemented in current Rydberg atom quantum simulators.

   ↳ cond-mat.quant-gascond-mat.stat-mechcond-mat.str-elhep-lat+1Commun.Phys.(2023)·32 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.