English
Related papers

Related papers: Exact strong zero modes in quantum circuits and sp…

200 papers

In this paper we consider the spin 1/2 highest weight representations for the 6-vertex Yang-Baxter algebra on a finite lattice and analyze the integrable quantum models associated to the antiperiodic transfer matrix. For these models, which…

Mathematical Physics · Physics 2013-02-26 G. Niccoli

The integrability of a quantum many-body system, which is characterized by the presence or absence of local conserved quantities, drastically impacts the dynamics of isolated systems, including thermalization. Nevertheless, a rigorous and…

Statistical Mechanics · Physics 2025-04-15 Akihiro Hokkyo

We consider the groundstate wavefunction of the quantum symmetric antiferromagnetic XXZ chain with open and twisted boundary conditions at $\Delta=-{1/2}$, along with the groundstate wavefunction of the corresponding O($n$) loop model at…

Statistical Mechanics · Physics 2009-11-07 M. T. Batchelor , J. de Gier , B. Nienhuis

We propose and analyze a scheme for conditional state transfer in a Heisenberg $XXZ$ spin chain which realizes a quantum spin transistor. In our scheme, the absence or presence of a control spin excitation in the central gate part of the…

Quantum Physics · Physics 2016-10-11 O. V. Marchukov , A. G. Volosniev , M. Valiente , D. Petrosyan , N. T. Zinner

We compute all dynamical spin-spin correlation functions for the spin-1/2 $XXZ$ anisotropic Heisenberg model in the gapless antiferromagnetic regime, using numerical sums of exact determinant representations for form factors of spin…

Strongly Correlated Electrons · Physics 2009-11-11 J. -S. Caux , R. Hagemans , J. -M. Maillet

We consider an XXZ spin-1/2 chain in the presence of several types of disorder that do not break the XY symmetry of the system. We calculate the complete asymptotic form of the spin-correlation functions at zero temperature at the…

Statistical Mechanics · Physics 2012-07-16 Zoran Ristivojevic , Aleksandra Petkovic , Thierry Giamarchi

We present power-law relaxation behavior of the local magnetizations in the equilibration dynamics of the spin-1/2 Heisenberg spin chain as an isolated integrable quantum system. We perform the exact time evolution of the expectation values…

Statistical Mechanics · Physics 2015-07-28 Tetsuo Deguchi , Pulak Ranjan Giri , Ryoko Hatakeyama

The spectrum of the non-hermitian asymmetric XXZ-chain with additional non-diagonal boundary terms is studied. The lowest lying eigenvalues are determined numerically. For the ferromagnetic and completely asymmetric chain that corresponds…

Statistical Mechanics · Physics 2009-10-28 Ulrich Bilstein , Birgit Wehefritz

General spin-1/2 chains with symmetric nearest-neighbor interaction are studied. We rigorously prove that all spin models in this class, except for known integrable systems, are non-integrable in the sense that they possess no nontrivial…

Statistical Mechanics · Physics 2024-11-05 Mizuki Yamaguchi , Yuuya Chiba , Naoto Shiraishi

A new exactly solvable one-dimensional spin-3/2 Heisenberg model with SO(5)-invariance is proposed. The eigenvalues and Bethe ansatz equations of the model are obtained by using the nested algebraic Bethe ansatz approach. Several exotic…

Strongly Correlated Electrons · Physics 2009-07-08 Yuzhu Jiang , Junpeng Cao , Yupeng Wang

In this work we argue that the antiferromagnetic spin $\frac{1}{2}$ XXZ chain in the gapped phase with boundary magnetic fields hosts fractional spin $\frac{1}{4}$ at its edges. Using a combination of Bethe ansatz and the density matrix…

Strongly Correlated Electrons · Physics 2023-12-12 Parameshwar R. Pasnoori , Yicheng Tang , Junhyun Lee , J. H. Pixley , Natan Andrei , Patrick Azaria

In this paper, we consider stochastic master equations describing the evolution of quantum spin-1/2 systems interacting with electromagnetic fields undergoing continuous-time measurements. We suppose that the initial states and the exact…

Optimization and Control · Mathematics 2020-04-14 Weichao Liang , Nina H. Amini , Paolo Mason

Faithfully simulating the dynamics of open quantum systems requires efficiently addressing the challenge of an infinite Hilbert space. Inspired by the shifted boson operator technique used in ground-state studies of the spin-boson model…

Quantum Physics · Physics 2025-08-27 Yang Zhao , Lipeng Chen

We consider spin chain models with exotic symmetries that change the length of the spin chain. It is known that the XXZ Heisenberg spin chain at the supersymmetric point $\Delta=-1/2$ possesses such a symmetry: it is given by the…

Statistical Mechanics · Physics 2024-08-29 Márton Borsi , Balázs Pozsgay

We develop a boundary field theory approach to electron spin resonance in open $S=1/2$ Heisenberg antiferromagnetic chains with an effective staggered field. In terms of the sine Gordon effective field theory with boundaries,we point out…

Strongly Correlated Electrons · Physics 2012-12-11 Shunsuke C. Furuya , Masaki Oshikawa

In the presence of strong spin-independent interactions and spin-orbit coupling, we show that the spinor Bose liquid confined to one spatial dimension undergoes an interaction- or density-tuned quantum phase transition similar to one…

Quantum Gases · Physics 2019-05-21 William S. Cole , Junhyun Lee , Khan W. Mahmud , Yahya Alavirad , I. B. Spielman , Jay D. Sau

We numerically investigate Heisenberg XXZ spin-1/2 chain in a spatially random static magnetic field. We find that tDMRG simulations of time evolution can be performed efficiently, namely the dimension of matrices needed to efficiently…

Quantum Physics · Physics 2008-03-19 Marko Znidaric , Tomaz Prosen , Peter Prelovsek

State-of-the-art approaches to extract transport coefficients of many-body quantum systems broadly fall into two categories: (i) they target the linear-response regime in terms of equilibrium correlation functions of the closed system; or…

The open spin-1/2 XXZ spin chain with diagonal boundary magnetic fields is the paradigmatic example of a quantum integrable model with open boundary conditions. We formulate a quantum algorithm for preparing Bethe states of this model,…

Quantum Physics · Physics 2022-01-26 John S. Van Dyke , Edwin Barnes , Sophia E. Economou , Rafael I. Nepomechie

The half-infinite XXZ open spin chain with general integrable boundary conditions is considered within the recently developed `Onsager's approach'. Inspired by the finite size case, for any type of integrable boundary conditions it is shown…

Mathematical Physics · Physics 2015-06-12 P. Baseilhac , S. Belliard