Grid-state deformation in a no-jump non-Hermitian bosonic dimer

• URL: http://arxiv.org/abs/2606.17036v1
• Date: Mon, 15 Jun 2026 17:54:25 GMT
• Title: Grid-state deformation in a no-jump non-Hermitian bosonic dimer
• Abstract summary: We study the no-jump evolution of ideal grid states in a lossy bosonic dimer with differential decay.<n>The effective non-Hermitian quadratic dynamics induces a complex symplectic flow in phase space that deforms both the primitive lattice vectors and the origin seed.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the no-jump evolution of ideal grid states in a lossy bosonic dimer with differential decay. The effective non-Hermitian quadratic dynamics induces a complex symplectic flow in phase space that deforms both the primitive lattice vectors and the origin seed. The average decay rate controls common attenuation, while coherent hopping and differential decay control the reduced dimer deformation. The reduced sector contains elliptic, parabolic, and hyperbolic regimes with imaginary spectra, an exceptional point, and real spectra, producing oscillatory, linear, and exponential lattice deformations. Although projected lattice areas can change, the deformation comes from a determinant-one complex symplectic flow on the full four-dimensional phase space. For a Gaussian regularization of the origin seed, we derive the associated complex width matrix and identify the positivity conditions that preserve Gaussian form. For an initial two-mode qunaught product state, the lossless limit recovers the standard beam-splitter generation of a square GKP$+$ Bell pair, while the no-jump dynamics produces its non-Hermitian deformation with a postselection cost set by the no-jump probability.

Related papers

• Bell nonlocality from twisted statistics [39.146761527401424]
  We investigate Bell correlations for a free real quantum scalar field on the noncommutative Moyal plane.<n>We show that suitable local mode measurements lead to a violation of the CHSH Bell inequality.
  arXiv  Detail & Related papers  (2026-08-06T17:55:50Z)
• Nonlocality-induced critical-length hierarchy from non-Hermitian competition [48.9823527611878]
  In short-range systems formed by two coupled chains, competition leads to the critical-length law $N_csimln D$.<n>Here we show that long-range hoppings fundamentally reorganizes this critical behavior, producing a hierarchy of distinct scaling laws.<n>Our results offer a platform-independent framework testable in programmable topoelectrical circuits, photonic lattices and digital quantum simulators.
  arXiv  Detail & Related papers  (2026-08-03T18:00:18Z)
• Stochastic Counterdiabatic Driving via Biorthogonal Liouvillian Eigenmodes [42.668742604089324]
  Escorted free energy simulations address the non-adiabatic lag by engineering control fields $mathbfu$ that eliminate the lag.<n>We construct a complementary numerical framework based on gauge-type transforms instead of generalized coordinate transforms.<n>We show that the counterdiabatic condition is satisfied to machine precision, with the non-adiabatic lag suppressed by roughly twelve orders of magnitude.
  arXiv  Detail & Related papers  (2026-07-27T13:08:14Z)
• Large Fluctuations in Open Quantum Systems [0.0]
  We study statistics of atypical measurement outcomes in the steady states of driven open quantum systems.<n>We show that this property is generically lost in driven dissipative systems.
  arXiv  Detail & Related papers  (2026-06-10T08:56:39Z)
• Non-Associativity Induced Modifications of Open-System Quantum Dynamics: General Master Equation and a Two-Qubit Ising Case Study [0.0]
  Nonassociative deformations of phase-space structures arise naturally in the presence of magnetic charge.<n>We show that weak nonassociativity manifests as a coherent, population-dependent deformation of open-system dynamics.
  arXiv  Detail & Related papers  (2026-04-17T18:26:39Z)
• Geometric Foundations of Stochastic and Quantum Dynamics [0.0]
  Noise, diffusion, path probabilities, fluctuation theorems, and entropy production arise from the intrinsic geometry of an evolving manifold.<n>We show that behaviour, irreversity, and quantum transition amplitudes are unified within the moving manifold framework.
  arXiv  Detail & Related papers  (2026-03-30T11:12:47Z)
• Typical entanglement in anyon chains: Page curves beyond Lie group symmetries [41.99844472131922]
  We study bipartite entanglement statistics in one-dimensional anyon chains constrained by fusion rules of unitary pre-modular categories.<n>Surprisingly, despite the constrained Hilbert space structure, the large $L$ expansion has no universal $O(sqrtL)$ or $O(1)$ symmetry-type corrections.<n> Numerical simulations of the integrable and quantum-chaotic golden chain Hamiltonian show that chaotic mid-spectrum eigenstates match the Haar-random predictions.
  arXiv  Detail & Related papers  (2026-03-26T18:00:03Z)
• Kinematic Emergence of the Page Curve in a Local Transverse-Field Ising Model [0.0]
  We present a controllable quantum spin-chain model that reproduces the Page curve (the rise-and-fall of bipartite entanglement expected in black-hole evaporation)<n>We show that the detailed shape of the curve depends on the internal information dynamics.<n>These results position locally interacting spin chains as a realistic platform for probing black-hole-inspired information dynamics on current quantum hardware.
  arXiv  Detail & Related papers  (2026-03-17T18:00:02Z)
• Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory [45.88028371034407]
  We study a $mathbbZ$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell.<n>We show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability.<n>By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization.
  arXiv  Detail & Related papers  (2026-03-02T22:59:25Z)
• Feshbach-Villars Hamiltonian Approach to the Klein-Gordon Oscillator and Supercritical Step Scattering in Standard and Generalized Doubly Special Relativity [0.0]
  We develop a first-order Feshbach-Villars framework for spin-0 relativistic quantum dynamics.<n>We study two benchmark settings in which the FV metric structure is essential.<n>For step and barrier scattering, we compute reflection and transmission coefficients directly from the pseudo-Hermitian FV current.
  arXiv  Detail & Related papers  (2026-01-25T20:57:45Z)
• Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation [39.146761527401424]
  We explore the finite-density phase diagram of the single-flavour Gross-Neveu-Wilson (GNW) model.<n>We find a sequence of inhomogeneous ground states that arise through a real-space version of the mechanism of Hilbert-space fragmentation.
  arXiv  Detail & Related papers  (2025-06-23T14:19:35Z)
• Geometric Dynamics of Signal Propagation Predict Trainability of Transformers [22.25628914395565]
  We investigate forward signal propagation and gradient back propagation in deep, randomly transformers. Our approach treats the evolution of $n tokens as they propagate through the transformer layers. We show through experiments that, remarkably, the final test loss at the end of training is well predicted just by these two exponents.
  arXiv  Detail & Related papers  (2024-03-05T01:30:34Z)
• Simultaneous Transport Evolution for Minimax Equilibria on Measures [48.82838283786807]
  Min-max optimization problems arise in several key machine learning setups, including adversarial learning and generative modeling. In this work we focus instead in finding mixed equilibria, and consider the associated lifted problem in the space of probability measures. By adding entropic regularization, our main result establishes global convergence towards the global equilibrium.
  arXiv  Detail & Related papers  (2022-02-14T02:23:16Z)

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.