Quantum criticality in interacting bosonic Kitaev-Hubbard models

Abstract

Motivated by recent work on the non-Hermitian skin effect in the bosonic Kitaev-Majorana model, we study the quantum criticality of interacting bosonic Kitaev-Hubbard models on a chain and a two-leg ladder. In the hard-core limit, we show exactly that the non-Hermitian skin effect disappears via a transformation from hard-core bosonic models to spin-1/2 models. We also show that hard-core bosons can engineer the Kitaev interaction, the Dzyaloshinskii-Moriya interaction and the compass interaction in the presence of the complex hopping and pairing terms. Importantly, quantum criticalities of the chain with a three-body constraint and unconstrained soft-core bosons are investigated by the density matrix renormalization group method. This work reveals the effect of many-body interactions on the non-Hermitian skin effect and highlights the power of bosons with pairing terms as a probe for the engineering of interesting models and quantum phase transitions.

arXiv comment9 pages, 6 figures

References in corpus (80)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Unpaired Majorana fermions in quantum wires
• The density-matrix renormalization group in the age of matrix product states
• Feshbach Resonances in Ultracold Gases
• Edge states and topological invariants of non-Hermitian systems
• The physics of dipolar bosonic quantum gases
• Topological phases of non-Hermitian systems
• Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
• Topological Origin of Non-Hermitian Skin Effects
• Majorana Zero Modes and Topological Quantum Computation
• Anomalous edge state in a non-Hermitian lattice
• Non-Bloch Band Theory of Non-Hermitian Systems
• Correspondence between winding numbers and skin modes in non-hermitian systems
• Non-Hermitian Boundary Modes
• Topological phases of fermions in one dimension
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• Fidelity approach to quantum phase transitions
• Non-Hermitian bulk-boundary correspondence and auxiliary generalized Brillouin zone theory
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
• Universal non-Hermitian skin effect in two and higher dimensions
• Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
• Acoustic non-Hermitian skin effect from twisted winding topology
• Observation of higher-order non-Hermitian skin effect
• Non-Hermitian Many-Body Localization
• Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
• Parity-time-symmetric quantum critical phenomena
• Atomic three-body loss as a dynamical three-body interaction
• Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
• Exact solution of non-Hermitian systems with generalized boundary conditions: size-dependent boundary effect and fragility of skin effect
• Exponentially-enhanced quantum sensing with non-Hermitian lattice dynamics
• Phase-dependent chiral transport and effective non-Hermitian dynamics in a bosonic Kitaev-Majorana chain
• Entanglement spectrum and entropy in topological non-Hermitian systems and non-unitary conformal field theories
• Non-Hermitian Edge Burst
• Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems
• Non-Hermitian Linear Response Theory
• Skin superfluid, topological Mott insulators, and asymmetric dynamics in interacting non-Hermitian Aubry-Andre-Harper models
• Emergent Fermi surface in a many-body non-Hermitian Fermionic chain
• Entanglement spectrum and symmetries in non-Hermitian fermionic non-interacting models
• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• Many-body approach to non-Hermitian physics in fermionic systems
• Non-Hermitian phase transition from a polariton Bose-Einstein condensate to a photon laser
• Defective Edge States and Anomalous Bulk-Boundary Correspondence in non-Hermitian Topological Systems
• Phase Diagram of a Spin Ladder with Cyclic Four Spin Exchange
• Many-Body Topological and Skin States without Open Boundaries
• Non-Hermitian Many-Body Localization with Open Boundaries
• Critical fluctuations at a many-body exceptional point
• Exact Solution to Interacting Kitaev Chain at Symmetric Point
• Non-Bloch band theory in bosonic Bogoliubov-de Gennes systems
• Exceptional Spin Liquids from Couplings to the Environment
• Topological Bose-Mott insulators in one-dimensional non-Hermitian superlattices
• Topology by Dissipation: Majorana Bosons in Metastable Quadratic Markovian Dynamics
• Criticality and factorization in the Heisenberg chain with Dzyaloshinskii-Moriya interaction
• Deconstructing effective non-Hermitian dynamics in quadratic bosonic Hamiltonians
• Ultra-cold bosons in zig-zag optical lattices
• Fidelity Susceptibility Study of Quantum Long-Range Antiferromagnetic Ising Chain
• Multicriticality and entanglement in the one-dimensional quantum compass model
• Phase diagrams of spin ladders with ferromagnetic legs
• Biorthogonal quantum criticality in non-Hermitian many-body systems
• Phase diagram of S=1/2 two-leg XXZ spin ladder systems
• Characterizing quantum criticality and steered coherence in the XY-Gamma chain
• Classification of topological phases in one dimensional interacting non-Hermitian systems and emergent unitarity
• Topological invariants, zero mode edge states and finite size effect for a generalized non-reciprocal Su-Schrieffer-Heeger model
• Solvable non-Hermitian skin effect in many-body unitary dynamics
• Interaction induced dynamical $\mathcal{P}\mathcal{T}$ symmetry breaking in dissipative Fermi-Hubbard models
• Exact solution for a quantum compass ladder
• Quantum phase transitions in exactly solvable one-dimensional compass models
• Exact ground states for interacting Kitaev chains
• Protection of parity-time symmetry in topological many-body systems: non-Hermitian toric code and fracton models
• Dynamical scaling of Loschmidt echo in non-Hermitian systems
• Scaling behavior and phase diagram of a PT-symmetric non-Hermitian Bose-Hubbard system
• Phase Diagram and Entanglement of two interacting topological Kitaev chains
• Restoring number conservation in quadratic bosonic Hamiltonians with dualities
• Exact zero modes in a quantum compass chain under inhomogeneous transverse fields
• A simple approach to characterizing band topology in bosonic pairing Hamiltonians
• ${\mathbb{Z}}_2$ phases and Majorana spectroscopy in paired Bose-Hubbard chains
• Bose-Hubbard models with photon pairing in circuit-QED

Cited by in corpus (13)

• Topological Non-Hermitian skin effect
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• Quantum Simulation of the Bosonic Kitaev Chain
• Occupation-dependent particle separation in one-dimensional non-Hermitian lattices
• General criterion for non-Hermitian skin effects and Application: Fock space skin effects in many body systems
• Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
• Hidden exceptional point, localization-delocalization phase transition in Hermitian bosonic Kitaev model
• Transfer learning from Hermitian to non-Hermitian quantum many-body physics
• Dynamical scaling laws in the quantum $q$-state clock chain
• Higher order coherence as witness of exceptional point in Hermitian bosonic Kitaev dimer
• Magnetic Control of the Non-Hermitian Skin Effect in Two-Dimensional Lattices
• Probing quantum phase transition in a staggered Bosonic Kitaev chain via layer-resolved localization-delocalization transition
• Hierarchic superradiant phases in anisotropic Dicke model