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Four-spin exchange interaction has been raising intriguing questions regarding the exotic phase transitions it induces in two-dimensional quantum spin systems. In this context, we investigate the effects of a cyclic four-spin exchange in…

Strongly Correlated Electrons · Physics 2013-08-21 S. Capponi , P. Lecheminant , M. Moliner

Previously it was shown that (almost) perfect state transfer can be achieved on the complete bipartite graph by a discrete-time coined quantum walk based algorithm when both the sender and receiver vertices are in the same partition of the…

Quantum Physics · Physics 2022-03-09 R. A. M. Santos

We show that four-dimensional systems may exhibit a topological phase transition analogous to the well-known Berezinskii-Kosterlitz-Thouless vortex unbinding transition in two-dimensional systems. The realisation of an engineered quantum…

Quantum Gases · Physics 2021-02-09 Nicolò Defenu , Andrea Trombettoni , Dario Zappalà

We explore one-dimensional fermionic symmetry-protected topological (SPT) phases related by the crystalline equivalence principle. In particular, we study charge-conserving many-body topological phases of fermions protected respectively by…

Strongly Correlated Electrons · Physics 2024-12-02 Chen-Shen Lee , Ken Shiozaki , Chang-Tse Hsieh

Topological protection of quantum correlations opens new horizons and opportunities in quantum technologies. A variety of topological effects has recently been observed in qubit networks. However, the experimental identification of the…

Mesoscale and Nanoscale Physics · Physics 2025-06-10 Andrei A. Stepanenko , Maxim A. Gorlach

We investigate quantum phase transitions (QPTs) in spin chain systems characterized by local Hamiltonians with matrix product ground states. We show how to theoretically engineer such QPT points between states with predetermined properties.…

Statistical Mechanics · Physics 2009-11-11 Michael M. Wolf , Gerardo Ortiz , Frank Verstraete , J. Ignacio Cirac

Using a global optimization algorithm we obtain spin chains with site-dependent exchange coefficients which allow almost perfect quantum state transfer between the extremes of the chains without any further time-dependent external control.…

Quantum Physics · Physics 2022-10-07 Pablo Serra , Alejandro Ferrón , Omar Osenda

Topology and symmetry play critical roles in characterizing quantum phases of matter. Recent advancements have unveiled symmetry-protected topological (SPT) phases in many-body systems as a unique class of short-range entangled states,…

Quantum Physics · Physics 2025-03-13 Ruizhe Shen , Tianqi Chen , Bo Yang , Yin Zhong , Ching Hua Lee

The existence of perfect state transfer (PST) on quantum spin networks is a fundamental problem in mathematics and physics. Various works in the literature have explored PST in graphs with arithmetic origins, such as gcd-graphs over…

Combinatorics · Mathematics 2025-04-02 Tung T. Nguyen , Nguyen Duy Tân

We discuss the relation between particle number conservation and topological phases. In four spatial dimensions, we find that systems belonging to different topological phases in the presence of a U(1) charge conservation can be connected…

Mesoscale and Nanoscale Physics · Physics 2013-04-22 Jan Carl Budich

We study symmetry-protected topological (SPT) phase transitions induced by stacking two gapped one-dimensional subsystems in BDI symmetry class. The topological invariant of the entire system is a sum of three topological invariants: two…

Mesoscale and Nanoscale Physics · Physics 2023-06-09 Sang-Jun Choi , Björn Trauzettel

Topology in quantum matter is typically associated with gapped phases. For example, in symmetry protected topological (SPT) phases, the bulk energy gap localizes edge modes near the boundary. In this work we identify a new mechanism that…

Strongly Correlated Electrons · Physics 2021-08-25 Ryan Thorngren , Ashvin Vishwanath , Ruben Verresen

We consider the spin $\frac{1}{2}$ XXZ chain with diagonal boundary fields and solve it exactly using Bethe ansatz in the gapped anti-ferromagnetic regime and obtain the complete phase boundary diagram. Depending on the values of the…

Strongly Correlated Electrons · Physics 2025-07-02 Parameshwar R. Pasnoori , Yicheng Tang , Junhyun Lee , J. H. Pixley , Patrick Azaria , Natan Andrei

We design a setup to realize tunable topological phases in elastic photonic crystals. Using the Su-Schrieffer-Heeger (SSH) model as a canonical example, we show how a system can be continuously tuned across its topological phase transition…

Mesoscale and Nanoscale Physics · Physics 2018-10-03 Ehsan Saei Ghareh Naz , Ion Cosma Fulga , Libo Ma , Oliver G. Schmidt , Jeroen van den Brink

Symmetry protected topological (SPT) phases with gapless edge excitations have been shown to exist in principle in strongly interacting bosonic/fermionic systems and it is highly desirable to find practical systems to realize such phases…

Strongly Correlated Electrons · Physics 2013-11-27 Ching-Yu Huang , Xie Chen , Feng-Li Lin

Symmetry-protected topological phases (SPT) are short-range entangled gapped states protected by global symmetry. Nontrivial SPT phases cannot be adiabatically connected to the trivial disordered state(or atomic insulator) as long as…

Strongly Correlated Electrons · Physics 2016-06-02 Peng Ye , Zheng-Cheng Gu

We study a quantum state transfer between two qubits interacting with the ends of a quantum wire consisting of linearly arranged spins coupled by an excitation conserving, time-independent Hamiltonian. We show that if we control the…

Quantum annealing in a real device is necessarily susceptible to errors due to diabatic transitions and thermal noise. Nested quantum annealing correction is a method to suppress errors by using an all-to-all penalty coupling among a set of…

Quantum Physics · Physics 2019-06-19 Shunji Matsuura , Hidetoshi Nishimori , Walter Vinci , Daniel A. Lidar

We show how two many-body, generally mixed, quantum states can be swapped via collective, all-to-all interactions. Specifically, we present an experimentally relevant implementation for quantum dots that enables coherent exchange of quantum…

Quantum Physics · Physics 2025-08-19 Matthew Wampler , Nigel R. Cooper

The surface code, one of the leading candidates for quantum error correction, is known to protect encoded quantum information against stochastic, i.e., incoherent errors. The protection against coherent errors, such as from unwanted gate…

Quantum Physics · Physics 2025-10-28 Jan Behrends , Benjamin Béri