Deterministic nonlinear bunching of bosons

• URL: http://arxiv.org/abs/2606.30021v1
• Date: Mon, 29 Jun 2026 09:24:40 GMT
• Title: Deterministic nonlinear bunching of bosons
• Abstract summary: bosonic energy quanta can bunch together in an energy-conserving interaction.<n>We show that it is advantageous to use nonlinear interactions involving highly saturable systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The ability of bosonic energy quanta to bunch together in an energy-conserving interaction is a fundamental feature of quantum harmonic oscillators. Linear systems together with measurement allow for the conditional concentration of energy quanta and, subsequently, breeding of the quantum states, but only with an exponentially decreasing success rate. Deterministic, energy-conserving and unconditional bunching however, requires nonlinearity. We investigate which nonlinear energy-conserving interactions deterministically combine bosons into high number states at the same frequency. We show that in order to do so it is advantageous to use nonlinear interactions involving highly saturable systems, such as qubits, as they preserve the hierarchical quantum non-Gaussian features and are also sufficiently robust against pure loss. Nonlinear bunching therefore demonstrates the advantage of a {\it qubit-inside} nonlinearity and opens new directions in the deterministic preparation, processing, and detection of quantum non-Gaussian states.

Related papers

• Broadcasting quantum nonlinearity in hybrid systems [0.0]
  We show that an unconditional nonlinear operation can be broadcast to a linear system using light-mediated interaction.<n>We evaluate an optically levitated mechanical oscillator as a flexible source of nonlinearity for a proof-of-principle demonstration of the nonlinearity broadcasting to linear systems.
  arXiv  Detail & Related papers  (2026-01-27T13:44:44Z)
• Nonlinear stochastic and quantum motion from Coulomb forces [0.0]
  controllable nonlinearities may have always been in reach via the natural and fundamental forces between quantum particles.<n>We show that after eliminating the harmonic part of the Coulomb force by an auxiliary linear force, the remaining reciprocal nonlinear part results in a directly observable non-reciprocal nonlinear effect.
  arXiv  Detail & Related papers  (2025-11-23T08:42:29Z)
• Coherence of quantum non-Gaussian states via nonlinear absorption of quanta [0.0]
  We show how to generate quantum non-Gaussian states in a saturable system.<n>The states only approach Fock states and therefore do not exhibit quantum coherence.<n>We extend this case to include an unsaturable absorber (oscillator) and analyse switching between linear and nonlinear absorptions.
  arXiv  Detail & Related papers  (2025-11-22T18:18:44Z)
• Quantum Nonlinear Response of Emitter Lattices [42.17343824099138]
  We study the emergence of quantum nonlinearities in the optical response of lattices of two-level quantum emitters coherently driven by a laser.<n>For subwavelength lattice periods, where the system behaves as a quantum metasurface, we find that a resonant incident plane wave can populate excitonic Bloch states.<n>Closely related to resonance fluorescence, the far-field emission from the system in the strong-driving regime is dominated by a broadband background of photons.
  arXiv  Detail & Related papers  (2025-10-22T19:43:54Z)
• Enhanced quantum frequency estimation by nonlinear scrambling [41.94295877935867]
  We show that dynamically encoding an unknown frequency in a nonlinear quantum electromagnetic field can significantly improve frequency estimation.<n>We quantify this effect using the Wigner-Yanase skew information, which measures the degree of noncommutativity in the Hamiltonian structure.
  arXiv  Detail & Related papers  (2025-03-03T19:00:01Z)
• A Linear Quantum Coupler for Clean Bosonic Control [40.363378379378524]
  An ideal quantum nonlinearity would selectively activate desired coherent processes at high strength.<n>The wide bandwidth of the Josephson nonlinearity makes this difficult, with undesired drive-induced transitions and decoherence limiting qubit readout, gates, couplers and amplifiers.<n>We propose a novel mixer that combines both these strengths, with engineered selection rules that make it essentially linear (not just Kerr-free) when idle, and activate clean parametric processes even when driven at high strength.
  arXiv  Detail & Related papers  (2025-01-29T22:26:14Z)
• Quantum memories for squeezed and coherent superpositions in a driven-dissipative nonlinear oscillator [0.9217021281095907]
  Superconducting circuits have been employed to realize long-lived qubits stored in coherent states. We show that coherent superpositions of squeezed states are achievable in the presence of a strong symmetry. We investigate the potential application of these nonlinear driven-dissipative resonators for quantum computing and quantum associative memory.
  arXiv  Detail & Related papers  (2023-09-12T15:06:08Z)
• Emergence of Non-Gaussian Coherent States Through Nonlinear Interactions [0.0]
  coherent states depart from Gaussian by the emergence of negative values in their Wigner function. Non-Gaussianity of light arises as a general property of nonlinear interactions. Results highlight how useful quantum features can be extracted from the seemingly most classical states of light.
  arXiv  Detail & Related papers  (2022-01-16T13:09:32Z)
• Enhanced nonlinear quantum metrology with weakly coupled solitons and particle losses [58.720142291102135]
  We offer an interferometric procedure for phase parameters estimation at the Heisenberg (up to 1/N) and super-Heisenberg scaling levels. The heart of our setup is the novel soliton Josephson Junction (SJJ) system providing the formation of the quantum probe. We illustrate that such states are close to the optimal ones even with moderate losses.
  arXiv  Detail & Related papers  (2021-08-07T09:29:23Z)
• Designing Kerr Interactions for Quantum Information Processing via Counterrotating Terms of Asymmetric Josephson-Junction Loops [68.8204255655161]
  static cavity nonlinearities typically limit the performance of bosonic quantum error-correcting codes. Treating the nonlinearity as a perturbation, we derive effective Hamiltonians using the Schrieffer-Wolff transformation. Results show that a cubic interaction allows to increase the effective rates of both linear and nonlinear operations.
  arXiv  Detail & Related papers  (2021-07-14T15:11:05Z)
• Non-equilibrium stationary states of quantum non-Hermitian lattice models [68.8204255655161]
  We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner. We focus on the quantum steady states of such models for both fermionic and bosonic systems.
  arXiv  Detail & Related papers  (2021-03-02T18:56:44Z)

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.