Few-body precursors of topological frustration

Abstract

Quantum spin chains - the prototypical model for coupled two-level systems - offer a fertile playground both for fundamental and technological applications, ranging from the theory of thermalization to quantum computation. The effects of frustration induced by the boundary conditions have recently been addressed in this context. In this work, we analyze the effects of such frustration on a few spin system and we comment the strong even-odd effects induced in the ground state energy. The purpose of this work is to show that such signatures are visible on current quantum computer platforms.

References in corpus (53)

• Unpaired Majorana fermions in quantum wires
• A variational eigenvalue solver on a quantum processor
• Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Many-body localization, thermalization, and entanglement
• Majorana Fermion Induced Resonant Andreev Reflection
• Generalized Gibbs ensemble in integrable lattice models
• High-power collective charging of a solid-state quantum battery
• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Cloud Quantum Computing of an Atomic Nucleus
• An initialization strategy for addressing barren plateaus in parametrized quantum circuits
• Quantized conductance at the Majorana phase transition in a disordered superconducting wire
• Distinguishing a Majorana zero mode using spin resolved measurements
• An introduction to integrable techniques for one-dimensional quantum systems
• Spontaneous plaquette dimerization in the $J_1-J_2$ Heisenberg model
• Model-free readout-error mitigation for quantum expectation values
• Dynamical decoupling for superconducting qubits: a performance survey
• New valence bond crystal phase of a frustrated spin-1/2 square lattice antiferromagnet
• Atomic spin chain realization of a model for quantum criticality
• Constructing gapless spin liquid state for the spin-1/2 J1-J2 Heisenberg model on a square lattice
• Temperature Correlations of Quantum Spins
• Imaging the Wigner Crystal of Electrons in One Dimension
• Wigner crystal physics in quantum wires
• Signatures of Majorana Zero Modes in Spin-Resolved Current Correlations
• Topological quantum phase transition in the Ising-like antiferromagnetic spin chain BaCo${}_2$V${}_2$O${}_8$
• Charge frustration in a triangular triple quantum dot
• Quantum computing of the ${}^6$Li nucleus via ordered unitary coupled clusters
• Variational approaches to constructing the many-body nuclear ground state for quantum computing
• Frustrating quantum batteries
• Complexity of frustration: a new source of non-local non-stabilizerness
• XY model on the circle: diagonalization, spectrum, and forerunners of the quantum phase transition
• Quantum Phase Transition induced by Topological Frustration
• The A-Cycle Problem for Transverse Ising Ring
• The Frustration of being Odd: How Boundary Conditions can destroy Local Order
• From fractional solitons to Majorana fermions in a paradigmatic model of topological superconductivity
• The Frustration of being Odd: Universal Area Law violation in local systems
• Non-monotonic response and light-cone freezing in gapless-to-(partially) gapped quantum quenches of fermionic systems
• Formation and detection of Majorana modes in quantum spin Hall trenches
• Signature of frustrated moments in quantum critical CePd${}_{1-x}$Ni${}_x$Al
• Effects of defects in the XY chain with frustrated boundary conditions
• Finite-size criticality in fully connected spin models on superconducting quantum hardware
• Correlation functions for the detection of Wigner molecules in a one-channel Luttinger liquid quantum dot
• Fractional charge oscillations in quantum spin Hall quantum dots
• Emerging topological bound states in Haldane model zigzag nanoribbons
• Winding up quantum spin helices: How avoided level crossings exile classical topological protection
• Majorana bound states in encapsulated bilayer graphene
• The A-Cycle Problem In XY model with Ring Frustration
• Odd thermodynamic limit for the Loschmidt echo
• Topological Frustration can modify the nature of a Quantum Phase Transition
• Long-range entanglement and topological excitations
• Simulating continuous symmetry models with discrete ones
• Frustrated Kondo impurity triangle: A simple model of deconfinement
• Towards a phase diagram of the topologically frustrated XY chain