Quantum-Squeezing-Induced Algebraic Non-Hermitian Skin Effects and Ultra Spectral Sensitivity

• URL: http://arxiv.org/abs/2510.10632v2
• Date: Mon, 20 Oct 2025 01:03:14 GMT
• Title: Quantum-Squeezing-Induced Algebraic Non-Hermitian Skin Effects and Ultra Spectral Sensitivity
• Authors: Zhao-Fan Cai, Tao Liu,
• Abstract summary: We build a bosonic lattice model with two-mode squeezing and study its spectral properties of bosonic excitation within the Bogoliubov-de Gennes formalism.<n>We demonstrate an algebraic non-Hermitian skin effect (NHSE), characterized by quasi-long-range power-law localization of complex eigenstates.<n>Our study establishes a framework for realizing novel higher-dimensional non-Hermitian physics in Hermitian bosonic platforms.
• Score: 3.390034140019115
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The well-established non-Bloch band theory predicts exponential localization of skin-mode eigenstates in one-dimensional (1D) non-Hermitian systems. Recent studies, however, have uncovered anomalous algebraic localization in higher dimensions. Here, we extend these ideas to Hermitian bosonic quadratic Hamiltonians incorporating quantum squeezing, offering a genuine quantum framework to explore non-Hermitian phenomena without external reservoirs. We construct a two-dimensional (2D) bosonic lattice model with two-mode squeezing and study its spectral properties of bosonic excitation within the Bogoliubov-de Gennes (BdG) formalism. We demonstrate an algebraic non-Hermitian skin effect (NHSE), characterized by quasi-long-range power-law localization of complex eigenstates. The system shows ultra spectral sensitivity to double infinitesimal on-site and long-range hopping impurities, while remaining insensitive to single impurities. Analytical treatment via the Green's function reveals that this sensitivity originates from the divergence of the nonlocal Green's function associated with the formation of nonlocal bound states between impurities. Our study establishes a framework for realizing novel higher-dimensional non-Hermitian physics in Hermitian bosonic platforms such as superconducting circuits, photonic lattices, and optomechanical arrays, with the demonstrated ultraspectral sensitivity enabling quantum sensing and amplification via bosonic squeezing.

Related papers

• Steady-state skin effect in bosonic topological edge states under parametric driving [0.0]
  We focus on the quantum nature inherent in bosonic Bogoliubov-de Gennes (BdG) systems.<n>We propose a steady-state skin effect in quantum condensed matter utilizing such BdG non-Hermiticity.
  arXiv  Detail & Related papers  (2026-02-02T04:38:38Z)
• Generalised fractional Rabi problem [35.18016233072556]
  Fractional quantum dynamics provides a natural framework to capture nonlocal temporal behavior and memory effects in quantum systems.<n>In this work, we analyze the physical consequences of fractional-order quantum evolution using a Green's function formulation based on the Caputo fractional derivative.<n>We find that even in the absence of external driving, the static Hamiltonian term induces non-trivial spin dynamics with damping features directly linked to the fractional temporal nonlocality.
  arXiv  Detail & Related papers  (2025-10-09T12:51:57Z)
• Avoided-crossings, degeneracies and Berry phases in the spectrum of quantum noise through analytic Bloch-Messiah decomposition [49.1574468325115]
  "analytic Bloch-Messiah decomposition" provides approach for characterizing dynamics of quantum optical systems.<n>We show that avoided crossings arise naturally when a single parameter is varied, leading to hypersensitivity of the singular vectors.<n>We highlight the possibility of programming the spectral response of photonic systems through the deliberate design of avoided crossings.
  arXiv  Detail & Related papers  (2025-04-29T13:14:15Z)
• Enantiosensitive positions of exceptional points in open chiral systems [39.58317527488534]
  We show that exceptional points can be enantiosenstive, enabling a new type of control over topological and chiral properties of non-Hermitian open chiral systems.<n>Our results combine high enantiosensitivity with topological robustness in chiral discrimination and separation, paving the way for new approaches in the control of non-Hermitian and chiral phenomena.
  arXiv  Detail & Related papers  (2025-02-26T09:20:08Z)
• Hidden curved spaces in Bosonic Kitaev model [2.635792095950133]
  Quantum matter in curved spaces exhibits remarkable properties unattainable in flat spaces. We show that two hyperbolic surfaces readily exist in bosonic Kitaev model in the absence of physical distortions. A finite chemical potential couples these two hyperbolic surfaces, delivering a quantum sensor whose sensitivity grows exponentially with the size of the system.
  arXiv  Detail & Related papers  (2024-08-09T15:40:10Z)
• Crossing exceptional points in non-Hermitian quantum systems [41.94295877935867]
  We reveal the behavior of two-photon quantum states in non-Hermitian systems across the exceptional point. We demonstrate a switching in the quantum interference of photons directly at the exceptional point.
  arXiv  Detail & Related papers  (2024-07-17T14:04:00Z)
• Quantum electrodynamics of lossy magnetodielectric samples in vacuum: modified Langevin noise formalism [55.2480439325792]
  We analytically derive the modified Langevin noise formalism from the established canonical quantization of the electromagnetic field in macroscopic media. We prove that each of the two field parts can be expressed in term of particular bosonic operators, which in turn diagonalize the electromagnetic Hamiltonian.
  arXiv  Detail & Related papers  (2024-04-07T14:37:04Z)
• Two-dimensional non-Hermitian skin effect in an ultracold Fermi gas [8.925244794690562]
  We create a non-Hermitian band for ultracold fermions in spin-orbit-coupled optical lattices with tunable dissipation. We observe the real-space dynamical signature of NHSE in real space by monitoring the center of mass motion of atoms. Our work paves the way for understanding the interplay of quantum statistics with NHSE.
  arXiv  Detail & Related papers  (2023-11-14T06:18:33Z)
• Kinked linear response from non-Hermitian cold-atom pumping [3.5932002706017556]
  We find that non-Hermiticity gives rise to abrupt and prominent kinks in the semi-classical wave packet trajectories of quantum gases. This physically stems from a hitherto underappreciated intrinsic non-locality from non-Hermitian pumping. Our results showcase unique non-monotonic behavior from non-Hermitian pumping beyond the non-Hermitian skin effect.
  arXiv  Detail & Related papers  (2023-06-22T18:00:13Z)
• Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice [5.593595192885069]
  geometry-dependent skin effect (GDSE) refers to that the localization of extensive eigenstates depends on the system's geometry under open boundary conditions. In this paper, we demonstrate the emergence of GDSE in a two-dimensional $sp$ optical ladder lattice with on-site atom loss. Our results reveal that the GDSE has an intrinsic anisotropic bulk dynamics independent of boundary conditions, and offer its realization and detection in quantum systems.
  arXiv  Detail & Related papers  (2023-04-07T18:00:07Z)
• Probing the symmetry breaking of a light--matter system by an ancillary qubit [50.591267188664666]
  Hybrid quantum systems in the ultrastrong, and even more in the deep-strong, coupling regimes can exhibit exotic physical phenomena. We experimentally observe the parity symmetry breaking of an ancillary Xmon artificial atom induced by the field of a lumped-element superconducting resonator. This result opens a way to experimentally explore the novel quantum-vacuum effects emerging in the deep-strong coupling regime.
  arXiv  Detail & Related papers  (2022-09-13T06:14:08Z)
• Emergent non-Hermitian localization phenomena in the synthetic space of zero-dimensional bosonic systems [0.0]
  Phase transitions in non-Hermitian systems are at the focus of cutting edge theoretical and experimental research. We show how the non-Hermitian localization phenomena can naturally emerge in the synthetic field moments space of zero-dimensional bosonic systems.
  arXiv  Detail & Related papers  (2021-10-28T16:44:52Z)
• Topological photon pairs in a superconducting quantum metamaterial [44.62475518267084]
  We use an array of superconducting qubits to engineer a nontrivial quantum metamaterial. By performing microwave spectroscopy of the fabricated array, we experimentally observe the spectrum of elementary excitations. We find not only the single-photon topological states but also the bands of exotic bound photon pairs arising due to the inherent anharmonicity of qubits.
  arXiv  Detail & Related papers  (2020-06-23T07:04:27Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.