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3 results for “entanglement entropy”
Level statistics and entanglement entropy of Rydberg dressed bosons in a triple-well potential
<p>We study the signatures of quantum chaos in Rydberg dressed bosonic atoms held in a 1 triple-well potential. Dynamics of the bosons are governed by an extended Bose-Hubbard model (EBHM) where long-range nearest-neighbor and next-nearest-neighbor interactions are induced by laser coupling the ground state to Rydberg state. We analyze the level statistics of the EBHM for finite number N of atoms through numerical diagonalization. In the presence of a tilting potential, the level statistics are Poissonian distribution for weak dressed interaction. It becomes a Wigner-Dyson distribution for strong interaction, signifying the emergence of quantum chaos. A hybrid distribution is obtained when the dressed interaction is much stronger than the hopping rate. Using the Fock basis, we further calculate dynamical evolution of the entanglement entropy. The maximal value (upper bound) of the entanglement entropy is proved to depend on particle numbers in the form ln(N + 1). It is found that the maximum of the time-averaged entanglement entropy appears when the chaos is strong. The location of the maximum as a function of the dressed interaction and tilting potential is independent of atom number N.</p>
QMC Raw Data for Disentangling the Physics of the Attractive Hubbard Model via the Accessible and Symmetry-Resolved Entanglement Entropies
<p><strong>Data Summary</strong></p> <p>Raw data of 'Disentangling the Physics of the Attractive Hubbard Model via the Accessible and Symmetry-Resolved Entanglement Entropies'.</p> <p>The default Julia RNG generates random seeds, with the seed number corresponding to the last four digits of each file name..</p> <p>For more details, please check README.md on the GitHub repository.</p> <p>The scripts for processing the raw data are located in the data folder within the same repository.</p>
Probing Rényi Entanglement Entropies via Randomized Measurements
<p>The data contained here is for the four figures in the main text of the manuscript Probing Rényi Entanglement Entropies via Randomized Measurements, which is available on the arXiv:<em>1806.05747. </em> The data is contained in tab delimited .csv files.</p>
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