B-VQE is a biorthogonal variational quantum eigensolver with exceptional-point detection and importance sampling that simulates non-Hermitian many-body models on NISQ hardware with reported energy errors below 5e-3.
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Ashida , author Z
24 Pith papers cite this work. Polarity classification is still indexing.
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quant-ph 10 cond-mat.mes-hall 5 cond-mat.str-el 2 cond-mat.supr-con 2 cond-mat.quant-gas 1 cond-mat.stat-mech 1 hep-th 1 math-ph 1 nucl-th 1verdicts
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Dynamical poles from Green's function analytic continuation, rather than static bound states, control late-time dynamics in non-Hermitian impurity scattering.
Skin effects in non-Hermitian Luttinger liquids fractionalize by symmetry, producing decoupled spin and charge skin modes at low energies plus an interaction-enabled E8 skin effect absent in free fermions.
Fractional winding numbers in open quantum systems recover integer quantization over multiple momentum periods.
Algebraic states in continuum (AICs) with 1/|r| decay exist inside the bulk continuum of 2D non-Hermitian systems with one impurity, with an analytically derived threshold condition, and are absent in Hermitian or 1D non-Hermitian cases.
Derives semiclassical orbital magnetization energy in non-Hermitian periodic systems and defines a non-Hermitian angular momentum operator compatible with the real part of the orbital magnetic moment, with imaginary part linked to a generalized Aharonov-Bohm effect.
Effective gain engineered through evaporative cooling of thermal atoms enables Bose-Einstein condensation in a topological edge state of a synthetic hyperfine SSH lattice, realizing a topological atom laser.
Non-Hermitian XY model provides first spin-based realization of an idle-level quantum Otto engine where non-Hermiticity compresses the idle gap to improve work and efficiency.
A frustrated Vicsek-Kuramoto model with phase lag realizes non-Hermitian Chern bulk-boundary correspondence with C=±2, yielding chiral boundary flows in simulations.
Critical properties including phase diagrams in non-Hermitian XY models depend on the quantum mechanics formalism and chosen state, with arguments favoring standard quantum mechanics.
NMR data show singular low-energy spin fluctuations in the strange-metal phase of La2-xSrxCuO4 at x=0.25 that increase down to lowest temperatures, extending beyond the stripe critical point at x=0.19 and linked to spatial inhomogeneity.
In a minimal model of partially pumped atomic ensembles, collective dissipation induces interference that allows tuning linewidth from size-independent to extensive and photon statistics from antibunched to bunched via phase and pump rate.
The Gamow shell model locates a double pole S-matrix singularity (exceptional point) for the 5/2^- resonances in 7Be, shown by coalescing wave functions, spectral functions, and singular spectroscopic factors plus electromagnetic transitions.
Broad regions of horizontal and vertical spin stripes appear at low temperature in the Hubbard model, with wavelengths that vary nonlinearly with hole doping and are highly sensitive to the ratio of nearest- and next-nearest-neighbor hoppings.
In a monitored Rashba chain the disconnected entanglement entropy stays topological for a time linear in system size because monitoring switches between degenerate topological states while poisoning other quasiparticles.
Long-range non-Hermitian XX spin chains show enhanced time and size scaling of dynamical quantum Fisher information for parameter estimation compared to short-range and Hermitian cases, with identical scaling at criticality for ground-state probes.
Nematic order competes with d-wave superconductivity via a first-order transition but coexists with s-wave pairing in a 2D electron gas with quadrupolar interactions, producing mixed phases at finite temperature.
Gradient-descent optimization of eight circuit parameters in a Strawberry Fields model yields CFI gains of 153% to 1775% and 8x to 133x more useful events per pulse versus Afek et al. (2010) for N=2-5, reaching 82% of Heisenberg limit at N=2 and 58% at N=5.
Establishes correspondence between equilibrium Majorana zero modes and non-equilibrium kinetic zero modes in dissipative topological superconductors, derives algebraic relation for their numbers, and proposes dissipation engineering recipes demonstrated on Kitaev chain.
Coupling a skin-localized non-Hermitian chain to a delocalized chain induces a pseudo mobility edge in complex energy that separates localized and extended states, with a quantized winding number characterizing transitions under mixed boundary conditions.
Analytical solutions for displaced Gaussian states in driven damped oscillators show dynamics independent of bath temperature, unaffected by fast-rotating modes, and sharing exceptional point structure with the undriven case, valid also for time-dependent drives.
A review that contrasts common assumptions about the Lindblad equation with refined expectations drawn from examples, culminating in a checklist for assessing its breakdown.
Non-Hermitian systems admit equivalent descriptions in isomorphic Hilbert spaces related by Krein metrics, with physical quantities transported accordingly; illustrated on a two-level spin model via Robertson uncertainty relation as consistency test.
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.
citing papers explorer
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Algebraic States in Continuum in $ d\gt 1$ Dimensional Non-Hermitian Systems
Algebraic states in continuum (AICs) with 1/|r| decay exist inside the bulk continuum of 2D non-Hermitian systems with one impurity, with an analytically derived threshold condition, and are absent in Hermitian or 1D non-Hermitian cases.
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Non-Hermitian magnetic moment
Derives semiclassical orbital magnetization energy in non-Hermitian periodic systems and defines a non-Hermitian angular momentum operator compatible with the real part of the orbital magnetic moment, with imaginary part linked to a generalized Aharonov-Bohm effect.
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Double pole $S$-matrix singularity in the continuum of $^7$Be
The Gamow shell model locates a double pole S-matrix singularity (exceptional point) for the 5/2^- resonances in 7Be, shown by coalescing wave functions, spectral functions, and singular spectroscopic factors plus electromagnetic transitions.
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Spin-stripes in the Hubbard model: a combined DMFT and Bethe-Salpeter analysis
Broad regions of horizontal and vertical spin stripes appear at low temperature in the Hubbard model, with wavelengths that vary nonlinearly with hole doping and are highly sensitive to the ratio of nearest- and next-nearest-neighbor hoppings.
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Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
Establishes correspondence between equilibrium Majorana zero modes and non-equilibrium kinetic zero modes in dissipative topological superconductors, derives algebraic relation for their numbers, and proposes dissipation engineering recipes demonstrated on Kitaev chain.
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Is Lindblad for me?
A review that contrasts common assumptions about the Lindblad equation with refined expectations drawn from examples, culminating in a checklist for assessing its breakdown.
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Krylov Complexity
Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.