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It has long been thought that macroscopic phase coherence breaks down in effectively lower-dimensional superconducting systems even at zero temperature due to enhanced topological quantum phase fluctuations. In quasi-1D wires, these…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Andrew J. Kerman

Superconductor-insulator transition is one of the remarkable phenomena driven by quantum fluctuation in two-dimensional (2D) systems. Such a quantum phase transition (QPT) was investigated predominantly on highly disordered thin films with…

Superconductivity · Physics 2018-04-20 Yu Saito , Tsutomu Nojima , Yoshihiro Iwasa

We study the order parameter phase fluctuation effects in cuprate superconductors near T=0, using a quasi-two-dimensional d-wave BCS model. An effective phason theory is obtained which is used to estimate the strength of the fluctuations,…

Superconductivity · Physics 2009-10-31 Hyok-Jon Kwon , Alan T. Dorsey , P. J. Hirschfeld

We develop a quantum many-body theory of the Bose-Hubbard model based on the canonical quantization of the action derived from a Gutzwiller mean-field ansatz. Our theory is a systematic generalization of the Bogoliubov theory of…

Quantum Gases · Physics 2020-08-24 Fabio Caleffi , Massimo Capone , Chiara Menotti , Iacopo Carusotto , Alessio Recati

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 present a general theory of quasiparticle number fluctuations in superconductors. The theory uses the master equation formalism. First, we develop the theory for a single occupation variable. Although this simple system is insufficient…

Superconductivity · Physics 2010-03-09 C. M. Wilson , D. E. Prober

The dynamics of a two-dimensional Bose-Einstein condensate in a presence of quantum fluctuations is studied. The properties of localized density distributions, quantum droplets (QDs), are analyzed by means of the variational approach. It is…

Pattern Formation and Solitons · Physics 2021-02-03 Sherzod R. Otajonov , Eduard N. Tsoy , Fatkhulla Kh. Abdullaev

The theory for condensation of higher fermionic clusters is developed. Fully selfconsistent nonlinear equations for the quartet order parameter in strongly coupled fermionic systems are established and solved. The breakdown of the…

Quantum Gases · Physics 2011-02-28 Takaaki Sogo , Gerd Röpke , Peter Schuck

The system of ultracold atoms with hyperfine spin $F=3/2$ might be unstable against the formation of quintet pairs if the interaction is attractive in the quintet channel. We have investigated the behavior of correlation functions in a…

Quantum Gases · Physics 2013-09-24 G. Barcza , E. Szirmai , Ö. Legeza , J. Sólyom

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 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 present a theory of the scaling behavior of the thermodynamic, transport and dynamical properties of a three-dimensional metal at an antiferromagnetic critical point. We show how the critical spin fluctuations at the AFM wavevector q=Q…

Strongly Correlated Electrons · Physics 2014-07-16 Elihu Abrahams , Joerg Schmalian , Peter Woelfle

We show that collective multiphonon states in atomic nuclei emerge at high excitation energies when quantum fluctuations in the collective space are included beyond the independent-particle approximation. The quadrupole response of a…

Nuclear Theory · Physics 2023-08-10 Petar Marević , David Regnier , Denis Lacroix

We study the formation and the subsequent dynamics of shock waves in repulsive one-dimensional Bose gases during the free expansion of a density hump. By building coherent Fermi states for interacting Bethe fermions, we define a quantum…

Statistical Mechanics · Physics 2025-01-14 Andrew Urilyon , Stefano Scopa , Giuseppe Del Vecchio Del Vecchio , Jacopo De Nardis

Motivated by remarkable properties of superfluid edge dislocations in solid Helium-4, we discuss a broad class of quantum systems -- boundaries in phase separated lattice states, magnetic domain walls, and ensembles of Luttinger liquids --…

Other Condensed Matter · Physics 2024-03-15 Anatoly Kuklov , Nikolay Prokof'ev , Leo Radzihovsky , Boris Svistunov

We consider a specific instance of a superconducting circuit, the so-called charge-qubit, consisting of a capacitor and a Josephson junction. Starting from the microscopic description of the latter in terms of two tunneling BCS models in…

Quantum Physics · Physics 2023-04-27 F. Benatti , F. Carollo , R. Floreanini , H. Narnhofer , F. Valiera

The role of fluctuations is enhanced in lower dimensionality systems: in a two dimensions off-diagonal long-range order is destroyed by the fluctuations at any finite temperature, drastically modifying the critical properties with respect…

Quantum Gases · Physics 2016-03-11 G Bighin , L Salasnich

The problem of calculating collective density fluctuations in quantum liquids is revisited. A fully quantum mechanical self-consistent treatment based on a quantum mode-coupling theory [E. Rabani and D.R. Reichman, J. Chem. Phys.116, 6271…

Statistical Mechanics · Physics 2009-11-10 Eran Rabani , David R. Reichman

We develop a theory of superconductivity (or superfluidity) based on condensed fermion quartets focusing on the dilute spin-$\frac{1}{2}$ systems at zero temperature. In the spirit of the Bardeen--Cooper--Schrieffer ansatz, a variational…

Superconductivity · Physics 2026-05-29 Qiao-Ru Xu , Congjun Wu

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…