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We study an interacting one-dimensional gas of spin-1/2 fermions with two-body losses. The dynamical phase diagram that characterises the approach to the stationary state displays a wide quantum-Zeno region, identified by a peculiar…

Quantum Gases · Physics 2023-01-19 Lorenzo Rosso , Alberto Biella , Jacopo De Nardis , Leonardo Mazza

It is possible to simulate the dynamics of a single spin-$1/2$ ($\mathsf{PT~}$ symmetric) system by conveniently embedding it into a subspace of a larger Hilbert space with unitary dynamics. Our goal is to formulate a many body…

Quantum Physics · Physics 2021-08-04 Anant V. Varma , Sourin Das

We study a system composed of fermions (electrons), hopping on a square lattice, and of immobile particles (ions), that is described by the spinless Falicov-Kimball Hamiltonian augmented by a next-nearest-neighbor attractive interaction…

Strongly Correlated Electrons · Physics 2009-11-10 Volodymyr Derzhko , Janusz Jedrzejewski

We show that whereas spin-1/2 one-dimensional U(1) quantum-link models (QLMs) are topologically trivial, when implemented in ladder-like lattices these models may present an intriguing ground-state phase diagram, which includes a symmetry…

Quantum Gases · Physics 2017-11-08 Lorenzo Cardarelli , Sebastian Greschner , Luis Santos

We study a system of interacting spinless fermions in one dimension which, in the absence of interactions, reduces to the Kitaev chain [A. Yu Kitaev, Phys.-Usp. \textbf{44}, 131 (2001)]. In the non-interacting case, a signal of topological…

Strongly Correlated Electrons · Physics 2015-09-22 Hosho Katsura , Dirk Schuricht , Masahiro Takahashi

Recently, it has been found that there exist symmetry-protected topological phases of fermions, which have no realizations in non-interacting fermionic systems or bosonic models. We study the edge states of such an intrinsically interacting…

Strongly Correlated Electrons · Physics 2020-08-05 Joseph Sullivan , Meng Cheng

We investigate a quantum non-relativistic system describing the interaction of two particles with spin 1/2 and spin 0, respectively. Assuming that the Hamiltonian is rotationally invariant and parity conserving we identify all such systems…

Mathematical Physics · Physics 2021-08-11 I. Yurdusen , O. O. Tuncer , P. Winternitz

A universal topological marker has been proposed recently to map the topological invariants of Dirac models in any dimension and symmetry class to lattice sites. Using this topological marker, we examine the conditions under which the…

Disordered Systems and Neural Networks · Physics 2024-03-14 Lucas A. Oliveira , Wei Chen

We consider a system consisting of a 2D network of links between Majorana fermions on superconducting islands. We show that the fermionic Hamiltonian modeling this system is topologically-ordered in a region of parameter space. In…

Quantum Physics · Physics 2012-07-25 Barbara M. Terhal , Fabian Hassler , David P. DiVincenzo

Distinguishing different topologically ordered phases and characterizing phase transitions between them is a difficult task due to the absence of local order parameters. In this paper, we use a combination of analytical and numerical…

Strongly Correlated Electrons · Physics 2014-08-01 Siddhardh C. Morampudi , Curt von Keyserlingk , Frank Pollmann

We study an extended Hubbard model with the nearest-neighbor Coulomb interaction on the pyrochlore lattice at half filling. An interaction-driven insulating phase with nontrivial Z_2 invariants emerges at the Hartree-Fock mean-field level…

Strongly Correlated Electrons · Physics 2015-05-20 Moyuru Kurita , Youhei Yamaji , Masatoshi Imada

Detecting topological order in cold-atom experiments is an ongoing challenge, the resolution of which offers novel perspectives on topological matter. In material systems, unambiguous signatures of topological order exist for topological…

Quantum Gases · Physics 2013-04-25 N. Goldman , J. Dalibard , A. Dauphin , F. Gerbier , M. Lewenstein , P. Zoller , I. B. Spielman

We demonstrate that ultracold polyatomic symmetric top molecules, such as methyl fluoride, loaded into an optical lattice and subject to DC electric and microwave field dressing, can display topological order via a self-consistent analog of…

Quantum Gases · Physics 2016-11-01 M. L. Wall , K. Maeda , L. D. Carr

Symmetry-protected topological (SPT) phases in interacting bosonic systems have been widely explored, yet most realizations rely on fine-tuned interactions or enlarged symmetries. Here we show that a qualitatively simpler mechanism--parity…

Strongly Correlated Electrons · Physics 2026-01-16 Ashirbad Padhan , Harsh Nigam

We present a novel framework for the development of fourth-order lattice Boltzmann schemes to tackle multidimensional nonlinear systems of conservation laws. As for other numerical schemes for hyperbolic problems, high-order accuracy…

Numerical Analysis · Mathematics 2024-09-11 Thomas Bellotti , Philippe Helluy , Laurent Navoret

We consider 1d Hamiltonian systems whose ground states display symmetry protected topological order. We show that ground states within the topological phase cannot be connected with each other through LOCC between a bipartition of the…

Quantum Physics · Physics 2013-09-18 Jian Cui , Luigi Amico , Heng Fan , Mile Gu , Alioscia Hamma , Vlatko Vedral

We use the Chern-Simons (CS) fermion representation of s =1/2 spin operators to construct topological, long-range magnetically ordered states of interacting two-dimensional (2D) quantum spin models. We show that the fermion-fermion…

Strongly Correlated Electrons · Physics 2017-03-22 Tigran A. Sedrakyan , Victor M. Galitski , Alex Kamenev

What kind of lattice Hamiltonian manifestly has an ordered state with spontaneous orbital currents? We consider interacting spinless fermions on an array of square plaquettes, connected by weak hopping; the array geometry may be a 2 x 2L…

Strongly Correlated Electrons · Physics 2013-05-29 Sumiran Pujari , C. L. Henley

We consider a spin-1/2 fermionic ladder with spin-orbit coupling and a perpendicular magnetic field, which shares important similarities with topological superconducting wires. We fully characterize the symmetry-protected topological phase…

Quantum Gases · Physics 2015-10-02 Leonardo Mazza , Monika Aidelsburger , Hong-Hao Tu , Nathan Goldman , Michele Burrello

A collective spin model is used to describe two species of mutually interacting ultracold bosonic atoms confined to a toroidal trap. The system is modeled by a Hamiltonian that can be split into two components, a linear part and a quadratic…

Quantum Gases · Physics 2024-06-05 Allison Brattley , Tomáš Opatrný , Kunal K. Das