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We investigate finite number effects in collisions between two states of an initially well known number of identical bosons with contact interactions, oscillating in the presence of harmonic confinement in one dimension. We investigate two…

量子气体 · 物理学 2013-04-30 David I. H. Holdaway , Christoph Weiss , Simon A. Gardiner

In this paper we seek to understand what current knowledge of entanglement entropies suggests about the appropriate way to interpret the covariant entropy bound. We first begin by arguing that just as in the classical case, a universal…

物理学史与哲学 · 物理学 2024-07-31 Emily Adlam

We discuss a model with ultra-cold atoms confined in optical superlattices. In particular, we study the ground-state properties of two spin-1 bosons trapped in a double-well potential. Depending on the external magnetic field and…

量子物理 · 物理学 2023-07-19 Artur Barasiński , Wiesław Leoński , Tomasz Sowiński

A large class of strongly correlated quantum systems can be described in certain large-N limits by quadratic in field actions along with self-consistency equations that determine the two-point functions. We use the replica approach and the…

强关联电子 · 物理学 2024-02-20 Siqi Shao , Yashar Komijani

We relate the entropy of entanglement of ensembles of random vectors to their generalized fractal dimensions. Expanding the von Neumann entropy around its maximum we show that the first order only depends on the participation ratio, while…

量子物理 · 物理学 2009-03-12 Olivier Giraud , John Martin , Bertrand Georgeot

We study the one-particle von Neumann entropy of a system of N hard-core anyons on a ring. The entropy is found to have a clear dependence on the anyonic parameter which characterizes the generalized fractional statistics described by the…

强关联电子 · 物理学 2009-11-11 Raoul Santachiara , Franck Stauffer , Daniel Cabra

We revisit in detail the non-mean-field ground-state phase diagram for a binary mixture of spin-1 Bose-Einstein condensates including quantum fluctuations. The non-commuting terms in the spin-dependent Hamiltonian under single spatial mode…

量子气体 · 物理学 2011-12-30 Z. F. Xu , R. Lü , L. You

The ground state entanglement entropy between block of sites in the random Ising chain is studied by means of the Von Neumann entropy. We show that in presence of strong correlations between the disordered couplings and local magnetic…

其他凝聚态物理 · 物理学 2009-04-16 D. Binosi , G. De Chiara , S. Montangero , A. Recati

Measuring entanglement entropy in interacting, multipartite systems remains a significant experimental challenge. We address this challenge by developing a protocol to measure von Neumann entropy (VNE) and mutual information in quantum…

介观与纳米尺度物理 · 物理学 2025-08-05 Zhenhua Zhu , Gu Zhang , Dong E. Liu

We investigate the entanglement properties of the valence-bond-solid (VBS) state defined on two-dimensional lattices, which is the exact ground state of the Affleck-Kennedy-Lieb-Tasaki model. It is shown that the entanglement entropy obeys…

强关联电子 · 物理学 2012-01-13 Jie Lou , Shu Tanaka , Hosho Katsura , Naoki Kawashima

We show for a general pure entangled state of two two-level atoms, the von Neumann entropy of the partial traces can be directly measured from the magnitude of the mean spin vector of a single atom of the pair. We emphasize the fact that…

量子物理 · 物理学 2020-06-02 Ram Narayan Deb

We study the entanglement feature of the ground state of a system composed of spin 1 and 1/2 parts. The concurrence vector is shown to be consistent with the measurement of von Neumann entropy for such system. In the light of the ground…

量子物理 · 物理学 2007-05-23 You-Quan Li , Guo-Qiang Zhu , Xue-An Zhao

We study the behavior of bipartite entanglement at fixed von Neumann entropy. We look at the distribution of the entanglement spectrum, that is the eigenvalues of the reduced density matrix of a quantum system in a pure state. We report the…

量子物理 · 物理学 2013-05-29 Paolo Facchi , Giuseppe Florio , Giorgio Parisi , Saverio Pascazio , Kazuya Yuasa

We present a method to measure the von Neumann entanglement entropy of ground states of quantum many-body systems which does not require access to the system wave function. The technique is based on a direct thermodynamic study of…

强关联电子 · 物理学 2020-02-19 T. Mendes-Santos , G. Giudici , R. Fazio , M. Dalmonte

We study the long-time evolution of the bipartite entanglement in translationally invariant gapped harmonic lattice systems with finite-range interactions. A lower bound for the von Neumann entropy is derived in terms of the purity of the…

量子物理 · 物理学 2011-07-12 R. G. Unanyan , M. Fleischhauer

We consider a system of two coupled Tomonaga-Luttinger liquids (TLL) on parallel chains and study the Renyi entanglement entropy $S_n$ between the two chains. Here the entanglement cut is introduced between the chains, not along the…

强关联电子 · 物理学 2013-03-08 Shunsuke Furukawa , Yong Baek Kim

We study resonating-valence-bond (RVB) states on the square lattice of spins and of dimers, as well as SU(N)-invariant states that interpolate between the two. These states are ground states of gapless models, although the SU(2)-invariant…

强关联电子 · 物理学 2015-03-20 Jean-Marie Stéphan , Hyejin Ju , Paul Fendley , Roger G. Melko

We compute the von Neumann and generalized R\'{e}nyi entanglement entropies in the ground-state of the spin-1/2 antiferromagnetic Heisenberg model on the square lattice using the modified spin-wave theory for finite lattices. The addition…

强关联电子 · 物理学 2011-07-06 H. Francis Song , Nicolas Laflorencie , Stephan Rachel , Karyn Le Hur

The ground and low-lying collective states of a rotating system of $N=3$ bosons harmonically confined in quasi-two-dimension and interacting via repulsive finite-range Gaussian potential is studied in weakly to moderately interacting…

量子气体 · 物理学 2016-05-03 Mohd. Imran , M. A. H. Ahsan

By relating the ground state of Temperley-Lieb hamiltonians to partition functions of 2D statistical mechanics systems on a half plane, and using a boundary Coulomb gas formalism, we obtain in closed form the valence bond entanglement…

统计力学 · 物理学 2013-05-29 Jesper Lykke Jacobsen , Hubert Saleur