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In this paper, we investigate topological properties of the ground state of the SU(N) Heisenberg chain, which is argued to be relevant to the Mott-insulating phase of alkaline-earth cold fermions in a one-dimensional optical lattice. By…

强关联电子 · 物理学 2015-09-01 K. Tanimoto , K. Totsuka

We study the critical behavior of the single-site entanglement entropy S at the Mott metal-insulator transition in infinite-dimensional Hubbard model. For this model, the entanglement between a single site and rest of the lattice can be…

强关联电子 · 物理学 2015-06-12 Dan-Dan Su , Xi Dai , Ning-Hua Tong

We study glide protected topological (GSPT) phases of interacting bosons and fermions in three spatial dimensions certain on-site symmetries. They are crystalline SPT phases, which are distinguished from a trivial product state only in the…

强关联电子 · 物理学 2017-07-27 Fuyan Lu , Bowen Shi , Yuan-Ming Lu

We propose that ultracold alkaline-earth-like atoms confined in one-dimensional optical lattice can realize a Kondo lattice model which hosts a symmetry-protected topological (SPT) phase and an associated quantum phase transition in a…

量子气体 · 物理学 2017-10-25 Masaya Nakagawa , Norio Kawakami

Quantum entanglement, as the strictly non-classical phenomena, is the kernel of quantum computing and quantum simulation, and has been widely applied ranging from fundamental tests of quantum physics to quantum information processing. The…

In this paper the geometric entanglement (GE) of systems in one spatial dimension (1D) and in the thermodynamic limit is analyzed focusing on two aspects. First, we reexamine the calculation of the GE for translation-invariant matrix…

强关联电子 · 物理学 2011-08-10 Roman Orus , Tzu-Chieh Wei

We study spin systems which exhibit symmetries that act on a fractal subset of sites, with fractal structures generated by linear cellular automata. In addition to the trivial symmetric paramagnet and spontaneously symmetry broken phases,…

强关联电子 · 物理学 2019-01-16 Trithep Devakul , Yizhi You , F. J. Burnell , S. L. Sondhi

We investigate the asymptotic rates of entanglement transformations for bipartite mixed states by local operations and classical communication (LOCC). We analyse the relations between the rates for different transitions and obtain simple…

量子物理 · 物理学 2009-10-19 Michal Horodecki , Aditi Sen De , Ujjwal Sen

The Lieb-Schultz-Mattis theorem and its higher dimensional generalizations by Oshikawa and Hastings require that translationally invariant 2D spin systems with a half-integer spin per unit cell must either have a continuum of low energy…

强关联电子 · 物理学 2017-07-26 Meng Cheng , Michael Zaletel , Maissam Barkeshli , Ashvin Vishwanath , Parsa Bonderson

Spin-1/2 two-legged ladders respecting inter-leg exchange symmetry and D2 spin rotation symmetry have new symmetry protected topological (SPT) phases which are different from the Haldane phase. Three of the new SPT phases are tx,ty,tz,…

强关联电子 · 物理学 2012-11-20 Zheng-Xin Liu , Zhen-Biao Yang , Yong-Jian Han , Wei Yi , Xiao-Gang Wen

We consider entanglement distillation under the assumption that the input states are allowed to be correlated among each other. We hence replace the usually considered independent and identically-distributed hypothesis by the weaker…

量子物理 · 物理学 2013-08-27 Fernando G. S. L. Brandao , Jens Eisert

Modeling and simulations of entanglement-based quantum-networking protocols commonly assume perfect entangled states. Some investigations have been performed which show how imperfections cause the efficiency of the protocols to rapidly…

量子物理 · 物理学 2022-06-28 Randy Lafler , R. Nicholas Lanning

We show that topology can protect exponentially localized, zero energy edge modes at critical points between one-dimensional symmetry protected topological phases. This is possible even without gapped degrees of freedom in the bulk ---in…

介观与纳米尺度物理 · 物理学 2018-02-02 Ruben Verresen , Nick G. Jones , Frank Pollmann

Recently, it was realized that quantum states of matter can be classified as long-range entangled (LRE) states (i.e. with non-trivial topological order) and short-range entangled (SRE) states (\ie with trivial topological order). We can use…

强关联电子 · 物理学 2014-02-05 Xiao-Gang Wen

We explore sufficient conditions for inseparability in mixed states with a globally conserved charge, such as a particle number. We argue that even separable states may contain entanglement in fixed charge sectors, as long as the state can…

量子物理 · 物理学 2022-04-27 Zhanyu Ma , Cheolhee Han , Yigal Meir , Eran Sela

Symmetry-protected topological (SPT) phases of matter have been the focus of many recent theoretical investigations, but controlled mechanisms for engineering them have so far been elusive. In this work, we demonstrate that by driving…

强关联电子 · 物理学 2015-09-07 Thomas Iadecola , Luiz H. Santos , Claudio Chamon

In [Z.-X. Liu, M. Liu, X.-G. Wen, arXiv:1101.5680], we studied 8 gapped symmetric quantum phases in S=1 spin chains %/ladders which respect a discrete spin rotation $D_2 \subset SO(3)$ and time reversal $T$ symmetries. In this paper, using…

强关联电子 · 物理学 2012-02-28 Zheng-Xin Liu , Xie Chen , Xiao-Gang Wen

Motivated by intertwined crystal symmetries and topological phases, we study the possible realization of topological insulator in nonsymmorphic crystals at integer fillings. In particular, we consider spin orbit coupled electronic systems…

强关联电子 · 物理学 2019-05-01 Hyeok-Jun Yang , SungBin Lee

We construct a class of entangled states in $\mathcal{H}=\mathcal{H}_{A}\otimes\mathcal{H}_{B}\otimes\mathcal{H}_{C}$ quantum systems with $dim\mathcal{H}_{A}=dim\mathcal{H}_{B}=dim\mathcal{H}_{C}=2$ and classify those states with respect…

量子物理 · 物理学 2015-09-25 Hui Zhao , Xinyu Yu , Naihuan Jing

Symmetry Protected Topological (SPT) phases are a minimal generalization of the concept of topological insulators to interacting systems. In this paper we describe the classification and properties of such phases for three dimensional(3D)…

强关联电子 · 物理学 2015-06-01 Chong Wang , T. Senthil