Large Deviations for the Bose--Einstein Condensate of the Ideal Gas in the Canonical Ensemble

• URL: http://arxiv.org/abs/2608.26378v2
• Date: Thu, 03 Sep 2026 14:50:14 GMT
• Title: Large Deviations for the Bose--Einstein Condensate of the Ideal Gas in the Canonical Ensemble
• Abstract summary: We consider a non-interacting Bose gas governed by a general one-particle Hamiltonian in the canonical ensemble.<n>Our main results are large-deviation estimates for the number of particles in the Bose--Einstein condensate.
• Score: 0.10742675209112622
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider a non-interacting Bose gas governed by a general one-particle Hamiltonian in the canonical ensemble. Our main results are large-deviation estimates for the number of particles in the Bose--Einstein condensate. We show that the left- and right-tail probabilities decay at different exponential rates as the number of particles tends to infinity.

Related papers

• Adiabatic preparation of a fractional quantum Hall fluid by coherently pumping atoms from a Bose-Einstein condensate [36.94429692322632]
  We propose a protocol to adiabatically prepare a many-particle fractional quantum Hall fluid of bosonic ultracold atoms.<n>Starting from an empty cloud, atoms with well-defined angular momentum are coherently pumped into the fluid by Raman beams.<n>Compared to number-conserving schemes which rely on finite-size-induced topological gaps, we identify an adiabatic path in the Fock space.
  arXiv  Detail & Related papers  (2026-06-14T18:19:31Z)
• Effective Dynamics for Weakly Interacting Bosons in an Iterated High-Density Thermodynamic Limit [0.0]
  We study the time evolution of weakly interacting Bose gases on a three-dimensional torus of arbitrary volume.<n>We take into account a class of initial states exhibiting quasi-complete Bose-Einstein condensation.
  arXiv  Detail & Related papers  (2025-10-01T12:48:53Z)
• Measuring pair correlations in Bose and Fermi gases via atom-resolved microscopy [28.441455845282068]
  We demonstrate atom-resolved detection of itinerant bosonic $23$Na and fermionic $6$Li quantum gases.<n>In contrast to prior work on lattice-trapped gases, here we realize microscopy of quantum gases in the continuum.<n>Our technique opens the door to the atom-resolved study of strongly correlated quantum gases of bosons, fermions, and their mixtures.
  arXiv  Detail & Related papers  (2024-11-13T17:05:44Z)
• Entanglement and Bell inequality violation in vector diboson systems produced in decays of spin-0 particles [44.99833362998488]
  We discuss conserving and the violation of the entanglementMP inequality in a system of two vector bosons produced in the decay of a spin-0 particle.<n>As an exemplary process of this kind we use the decay $Hto ZZ$ with anomalous coupling.
  arXiv  Detail & Related papers  (2024-05-26T11:21:06Z)
• Probing the quantum nature of gravity using a Bose-Einstein condensate [0.11704154007740832]
  The effect of noise induced by gravitons has been investigated using a Bose-Einstein condensate. For a Bose-Einstein condensate with a single mode, the lower bound of the expectation value of the square of the uncertainty in the amplitude measurement does not become infinite. Because of the noise induced by the graviton, there is a minimum value of the measurement time below which it is impossible to detect any gravitational wave using a Bose-Einstein condensate.
  arXiv  Detail & Related papers  (2024-03-27T11:18:44Z)
• Quantum supremacy of the many-body fluctuations in the occupations of the excited particle states in a Bose-Einstein-condensed gas [0.0]
  We suggest a multi-qubit BEC trap formed by a set of qubit potential wells. The process of many-body fluctuations in a BEC trap is #P-hard for computing.
  arXiv  Detail & Related papers  (2022-01-02T22:41:16Z)
• Classical analog of qubit logic based on a magnon Bose-Einstein condensate [52.77024349608834]
  We present a classical version of several quantum bit (qubit) functionalities using a two-component magnon Bose-Einstein condensate. The macroscopic wavefunctions of these two condensates serve as orthonormal basis states that form a system being a classical counterpart of a single qubit.
  arXiv  Detail & Related papers  (2021-11-12T16:14:46Z)
• Bose--Einstein condensation for particles with repulsive short-range pair interactions in a Poisson random external potential in $\mathbb R^d$ [0.0]
  We study Bose gases in $d$ dimensions, $d ge 2$, with short-range repulsive pair interactions, at positive temperature, in the canonical ensemble and in the thermodynamic limit. For sufficiently strong interparticle interactions, we show that almost surely there cannot be Bose-Einstein condensation into a sufficiently localized, normalized one-particle state.
  arXiv  Detail & Related papers  (2021-10-09T14:52:14Z)
• Functional Theory for Bose-Einstein Condensates [0.0]
  One-particle reduced density matrix functional theory would potentially be the ideal approach for describing Bose-Einstein condensates. We eventually initiate and establish this novel theory by deriving the respective universal functional $mathcalF$ for general homogeneous Bose-Einstein condensates.
  arXiv  Detail & Related papers  (2020-10-13T18:56:20Z)
• Probing spin correlations in a Bose-Einstein condensate near the single atom level [26.500149465292246]
  We produce and characterize a two-mode squeezed vacuum state in a sodium spin 1 Bose-Einstein condensate. A novel fluorescence imaging technique with sensitivity $Delta N sim 1.6$ atom enables us to demonstrate the role of quantum fluctuations in the initial dynamics.
  arXiv  Detail & Related papers  (2020-04-20T00:50:47Z)
• Shape of a sound wave in a weakly-perturbed Bose gas [23.87373187143897]
  We study acoustic emission generated in a uniform Bose gas by a static impurity. The impurity excites a sound-wave packet, which propagates through the gas. We calculate the shape of this wave packet in the limit of long wave lengths.
  arXiv  Detail & Related papers  (2020-04-17T06:19:29Z)

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.