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Universal properties of entangled many-body states are controlled by their symmetry and quantum fluctuations. By magnetic-field tuning of the spin-orbital degeneracy in a Kondo-correlated quantum dot, we have modified quantum fluctuations…

Quantum droplets (QDs) in weakly interacting ultracold quantum gases are typically characterized by mean-field theories incorporating Lee-Huang-Yang (LHY) quantum fluctuations under simplified zero-range interaction assumptions. However,…

Quantum Gases · Physics 2025-12-15 Yi Zhang , Xiaoran Ye , Ziheng Zhou , Zhaoxin Liang

We study the influence of quantum fluctuations on the macroscopic quantum tunneling and self-trapping of a two-component Bose-Einstein condensate in a double-well trap. Quantum fluctuations are described by the Lee-Huang-Yang term in the…

Quantum Gases · Physics 2023-08-09 Fatkhulla Kh. Abdullaev , Ravil M. Galimzyanov , Akbar M. Shermakhmatov

We use Bogoliubov theory to calculate the beyond mean field correction to the equation of state of a weakly interacting Bose gas in the presence of a tight 2D optical lattice. We show that the lattice induces a characteristic 3D to 1D…

Other Condensed Matter · Physics 2009-11-11 G. Orso , C. Menotti , S. Stringari

We show that the influence of quantum fluctuations in the electromagnetic field vacuum on a two level atom can be measured and consequently compensated by balanced homodyne detection and a coherent feedback field. This compensation…

Quantum Physics · Physics 2015-06-26 Holger F. Hofmann , Ortwin Hess , Guenter Mahler

We investigate beyond-mean-field dynamics in a fully connected $\mathrm{SU}(3)$ spin-exchange model, focusing on the interplay between chaotic dynamics and quantum fluctuations. Using the two-particle irreducible (2PI) effective action…

Statistical Mechanics · Physics 2026-05-27 Aleksandra A. Ziolkowska , Aleksandr N. Mikheev

We review the phenomenon of equilibrium fluctuations in the number of condensed atoms in a trap containing N atoms total. We start with a history of the Bose-Einstein distribution, the Einstein-Uhlenbeck debate concerning the rounding of…

We study the quantum corrections to the Gross-Pitaevskii equation for two weakly linked Bose-Einstein condensates. The goals are: 1) to investigate dynamical regimes at the borderline between the classical and quantum behaviour of the…

Statistical Mechanics · Physics 2016-08-31 Augusto Smerzi , Srikanth Raghavan

We study the effects of quantum fluctuations in the two-component Bose-Hubbard model generalizing to mixtures the quantum Gutzwiller approach introduced recently in [Phys. Rev. Research 2, 033276 (2020)]. As a basis for our study, we…

Quantum Gases · Physics 2022-03-30 V. E. Colussi , F. Caleffi , C. Menotti , A. Recati

We demonstrate how the beyond-mean-field Lee-Huang-Yang (LHY) corrections and its related physics can be naturally incorporated into the representation of an ultracold Bose gas using the truncated Wigner approach without invoking effective…

Quantum Gases · Physics 2026-03-09 King Lun Ng , Maciej Bartłomiej Kruk , Piotr Deuar

These lecture notes contain an introduction to quantum simulation of bosonic systems in the continuum, focusing on weakly interacting Bose-Bose mixtures with competing mean-field interactions. When the values of such interactions are…

Quantum Gases · Physics 2026-03-19 Sarah Hirthe , Leticia Tarruell

Laser induced transitions between internal states of atoms have been playing a fundamental role to manipulate atomic clouds for many decades. In absence of interactions each atom behaves independently and their coherent quantum dynamics is…

Quantum Gases · Physics 2017-10-20 Alberto Cappellaro , Tommaso Macrì , Giovanni F. Bertacco , Luca Salasnich

By means of an adapted mean-field expansion for large fillings $n\gg1$, we study the evolution of quantum fluctuations in the time-dependent Bose-Hubbard model, starting in the superfluid state and approaching the Mott phase by decreasing…

Other Condensed Matter · Physics 2008-04-15 Uwe R. Fischer , Ralf Schützhold , Michael Uhlmann

The nucleation and dynamics of vortices in the quasi-two-dimensional rotating dipolar Bose-Einstein condensate are explored by taking into account the Lee-Huang-Yang (LHY) correction to the mean-field (MF) theory. Assuming approximate…

Quantum Gases · Physics 2026-02-16 S. Sabari , R. Radha , Lauro Tomio , B. A. Malomed

Recently, trapped dipolar gases were observed to form high density droplets in a regime where mean field theory predicts collapse. These droplets present a novel form of equilibrium where quantum fluctuations are critical for stability. So…

Quantum Gases · Physics 2020-10-07 E. Aybar , M. O. Oktel

One of the most remarkable results of quantum mechanics is the fact that many-body quantum systems may exhibit phase transitions even at zero temperature. Quantum fluctuations, deeply rooted in Heisenberg's uncertainty principle, and not…

We formulate a generalized self-consistent stochastic quantum kinetic theory for finite-temperature ultracold Bose gases interacting via a generic long-range interaction, applicable to a broad range of systems, by means of Keldysh…

Quantum Gases · Physics 2025-07-28 Nick P. Proukakis , Gerasimos Rigopoulos , Alex Soto

We study the fluctuation properties of a one-dimensional many-body quantum system composed of interacting bosons, and investigate the regimes where quantum noise or, respectively, thermal excitations are dominant. For the latter we develop…

Quantum Gases · Physics 2010-07-16 H. -P. Stimming , N. J. Mauser , J. Schmiedmayer , I. E. Mazets

We study the properties of self-bound liquid droplets of three-dimensional Bose mixtures in a weak random potential with Gaussian correlation function at both zero and finite temperatures. Using the Bogoliubov theory, we derive useful…

Quantum Gases · Physics 2023-03-09 Karima Abbas , Abdelaali Boudjemaa

The properties of quasi-one-dimensional quantum droplets of Bose-Einstein condensates are investigated analytically and numerically, taking into account the contribution of quantum fluctuations. Through the development of a variational…

Quantum Gases · Physics 2024-07-11 Sherzod R. Otajonov , Bakhram A. Umarov , Fatkhulla Kh. Abdullaev