Complementarity between bosonic and fermionic many-body interferences with partially distinguishable particles

• URL: http://arxiv.org/abs/2604.23316v1
• Date: Sat, 25 Apr 2026 14:10:06 GMT
• Title: Complementarity between bosonic and fermionic many-body interferences with partially distinguishable particles
• Abstract summary: It is well known that bosons and fermions exhibit opposite behaviors when experiencing interference.<n>Here, we show that such a complementarity still holds even when particles become partially distinguishable.<n> Importantly, this complementarity has direct operational consequences in quantum metrology.
• Score: 3.441021278275805
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: It is well known that bosons and fermions exhibit opposite behaviors when experiencing interference, in the sense that bosons have a tendency to bunch whereas fermions have a tendency to antibunch. Recently, this complementarity was mathematically characterized in [arXiv:2312.17709] by means of an identity relating the transition probabilities of both types of particles in a linear interferometer. Here, we show that such a complementarity still holds even when particles become partially distinguishable, for example, when they have slightly different polarizations or time delays. Namely, we establish a relation that combines bosonic and fermionic multiparticle interferences in an arbitrary linear interferometer, in the presence of partial distinguishability. Incidentally, this also provides a new mathematical identity relating the permanent and determinant of tensors of order 3. Importantly, this complementarity has direct operational consequences in quantum metrology. Indeed, we show that the correlation matrices for bosonic and fermionic particle number distributions at the output of the interferometer obey a simple sum rule: their sum equals twice the correlation matrix for classical particles. This, in turn, constraints the achievable quantum Fisher information in phase-estimation protocols, highlighting a trade-off whereby greater indistinguishability enhances bosonic sensitivity whereas reduced indistinguishability can benefit fermionic schemes.

Related papers

• Boson-fermion complementarity in a linear interferometer [4.532517021515834]
  We show that bosonic and fermionic transition probabilities appear together in a same equation which constrains their values. For two particles in any interferometer, for example, it implies that the average of the bosonic and fermionic probabilities must coincide with the probability obeyed by classical particles.
  arXiv  Detail & Related papers  (2023-12-29T17:53:38Z)
• Exact asymptotics of long-range quantum correlations in a nonequilibrium steady state [0.0]
  We analytically study the scaling of quantum correlation measures on a one-dimensional containing a noninteracting impurity. We derive the exact form of the subleading logarithmic corrections to the extensive terms of correlation measures. This echoes the case of equilibrium states, where such logarithmic terms may convey universal information about the physical system.
  arXiv  Detail & Related papers  (2023-10-25T18:00:48Z)
• Non-Rayleigh signal of interacting quantum particles [0.0]
  The dynamics of two interacting quantum particles on a weakly disordered chain is investigated. The fluctuation profile of the signal can discern whether the interacting parties are behaving like identical bosons, fermions, or distinguishable particles.
  arXiv  Detail & Related papers  (2023-05-02T18:59:37Z)
• Formation of robust bound states of interacting microwave photons [148.37607455646454]
  One of the hallmarks of interacting systems is the formation of multi-particle bound states. We develop a high fidelity parameterizable fSim gate that implements the periodic quantum circuit of the spin-1/2 XXZ model. By placing microwave photons in adjacent qubit sites, we study the propagation of these excitations and observe their bound nature for up to 5 photons.
  arXiv  Detail & Related papers  (2022-06-10T17:52:29Z)
• Characterization of Two-Particle Interference by Complementarity [0.0]
  Bohr's Complementarity Principle is formulated in terms of the distinguishability of various paths a quanton can take, and the measure of the interference it produces. The Hong-Ou-Mandel (HOM) effect and the Hanbury-Brown-Twiss (HBT) effect are two well known examples. Two-particle interference is not as easy to define as its single particle counterpart, and the realization that it involves interference of two-particle amplitudes came much later.
  arXiv  Detail & Related papers  (2022-01-12T16:43:05Z)
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
  We study the ground state properties of the one-dimensional extended Hubbard model at half-filling. In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
  arXiv  Detail & Related papers  (2021-10-29T21:02:24Z)
• Quantum asymmetry and noisy multi-mode interferometry [55.41644538483948]
  Quantum asymmetry is a physical resource which coincides with the amount of coherence between the eigenspaces of a generator. We show that the asymmetry may emphincrease as a result of a emphdecrease of coherence inside a degenerate subspace.
  arXiv  Detail & Related papers  (2021-07-23T07:30:57Z)
• Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping [68.8204255655161]
  We study the localized states of a generic quadratic fermionic chain with finite-range couplings. We analyze the robustness of the connection between bands against perturbations of the Hamiltonian.
  arXiv  Detail & Related papers  (2021-07-20T18:44:06Z)
• Observation-dependent suppression and enhancement of two-photon coincidences by tailored losses [68.8204255655161]
  Hong-Ou-Mandel (HOM) effect can lead to a perfect suppression of two-particle coincidences between the output ports of a balanced beam splitter. In this work, we demonstrate experimentally that the two-particle coincidence statistics of two bosons can instead be seamlessly tuned to substantial enhancement. Our findings reveal a new approach to harnessing non-Hermitian settings for the manipulation of multi-particle quantum states.
  arXiv  Detail & Related papers  (2021-05-12T06:47:35Z)
• Light-matter interactions near photonic Weyl points [68.8204255655161]
  Weyl photons appear when two three-dimensional photonic bands with linear dispersion are degenerated at a single momentum point, labeled as Weyl point. We analyze the dynamics of a single quantum emitter coupled to a Weyl photonic bath as a function of its detuning with respect to the Weyl point.
  arXiv  Detail & Related papers  (2020-12-23T18:51:13Z)

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.