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The relationship between many-body interactions and dimensionality is integral to numerous emergent quantum phenomena. A striking example is the Bose gas, which upon confinement to one dimension (1D) obeys an infinite set of conservation…

In this work, we study many-body excitations of Bose-Einstein condensates (BECs) trapped in periodic one-dimensional optical lattices. In particular, we investigate the impact of quantum depletion onto the structure of the low-energy…

We derive a theory for Bose condensation in nonequilibrium steady states of bosonic quantum gases that are coupled both to a thermal heat bath and to a pumped reservoir (or gain medium), while suffering from loss. Such a scenario describes…

Statistical Mechanics · Physics 2018-07-04 Daniel Vorberg , Roland Ketzmerick , André Eckardt

The crossover between low and high density regimes of exciton-polariton condensates is examined using a BCS wavefunction approach. Our approach is an extension of the BEC-BCS crossover theory for excitons, but includes a cavity photon…

Quantum Gases · Physics 2010-10-28 Tim Byrnes , Tomoyuki Horikiri , Natsuko Ishida , Yoshihisa Yamamoto

The 2D pair-condensate is characterized by a charge ordered state with a "checkerboard" pattern in the planes and with an alternating superstructure along the c-axis.We find that Coulomb energy gain occurs along the c-axis, which is…

Superconductivity · Physics 2007-05-23 P. Süle

We develop a coupled-cluster theory for bosonic mixtures of binary species in external traps, providing a promising theoretical approach to demonstrate highly accurately the many-body physics of mixtures of Bose-Einstein condensates. The…

Quantum Gases · Physics 2024-02-01 Anal Bhowmik , Ofir E. Alon

We consider $N$ trapped bosons in the mean-field limit with coupling constant $\lambda_N=1 / (N-1)$. The ground state of such systems exhibits Bose--Einstein condensation. We prove that the probability of finding $\ell$ particles outside…

Mathematical Physics · Physics 2023-07-21 David Mitrouskas , Peter Pickl

Motivated by recent experiments we study the interconversion between ultracold atomic and molecular condensates, quantifying the resulting oscillations and their slow decay. We find that near equilibrium the dominant damping source is the…

Quantum Gases · Physics 2024-04-23 Dimitri Pimenov , Erich J. Mueller

We demonstrate the rise-and-fall of multiple pseudogaps in the Bardeen-Cooper-Schrieffer-Bose-Einstein-condensation (BCS-BEC) crossover in two-band fermionic systems having different pairing strengths in the deep band and in the shallow…

Superconductivity · Physics 2020-12-18 Hiroyuki Tajima , Yuriy Yerin , Pierbiagio Pieri , Andrea Perali

Superconductivity emerges from the spatial coherence of a macroscopic condensate of Cooper pairs. Increasingly strong binding and localization of electrons into these pairs compromises the condensate's phase stiffness, thereby limiting…

Strongly Correlated Electrons · Physics 2024-12-18 Niklas Witt , Yusuke Nomura , Sergey Brener , Ryotaro Arita , Alexander I. Lichtenstein , Tim O. Wehling

Using equations, governing np pairing correlations in S=1, T=0 pairing channel (PRC 63 (2001) 021304(R)), it is shown that at low densities equations for the energy gap in the spectrum of quasiparticles and chemical potentials of protons…

Nuclear Theory · Physics 2011-03-03 A. A. Isayev , S. I. Bastrukov , J. Yang

A recent Bose-Einstein condensation (BEC) model of several cuprate superconductors is based on bosonic Cooper pairs (CPs) moving in 3D with a quadratic energy-momentum (dispersion) relation. The 3D BEC condensate-fraction vs. temperature…

Superconductivity · Physics 2009-11-11 M. de Llano , J. J. Valencia

We investigate the many-body behavior of polaritons formed from electron-hole pairs strongly coupled to photons in a two-dimensional semiconductor microcavity. We use a microscopic mean-field BCS theory that describes polariton condensation…

Mesoscale and Nanoscale Physics · Physics 2023-09-27 Ned Goodman , Brendan C. Mulkerin , Jesper Levinsen , Meera M. Parish

It is known that elementary bosons condense in a unique state, not so much because this state has the lowest free particle energy but because it costs a macroscopic amount of energy to put the particles into different states which can then…

Other Condensed Matter · Physics 2009-11-13 M. Combescot , D. W. Snoke

We develop a many-body theory for the properties of exciton-polaritons interacting strongly with a Bose-Einstein condensate (BEC) of exciton-polaritons in another spin state. Interactions lead to the presence of a two-body bound state, the…

Quantum Gases · Physics 2019-11-13 M. A. Bastarrachea-Magnani , A. Camacho-Guardian , M. Wouters , G. M. Bruun

We consider the condensation energy in superconductors where the pairing is electronic in origin and is mediated by a collective bosonic mode. We use magnetically-mediated superconductivity as an example, and show that for large…

Strongly Correlated Electrons · Physics 2009-11-07 Robert Haslinger , Andrey V. Chubukov

We present a particle-number conserving theory for many-body effects in mesoscopic superconducting islands connected to normal electrodes, which explicitly includes quantum fluctuations of Cooper pairs in the condensate. Beyond previous BCS…

Strongly Correlated Electrons · Physics 2025-09-05 Tie-Feng Fang , Ai-Min Guo , Qing-Feng Sun

Pairing effects manifests themselves in many aspects in nuclear systems ranging from finite nuclei to nuclear matter and compact stars. Although with some specific features for nuclear systems, the mechanism of pairing between nucleons in…

Nuclear Theory · Physics 2024-02-07 Xiang-Xiang Sun , Shan-Gui Zhou

The present paper makes a connection between collective bosonic states and the exact solutions of the $p_x + ip_y$ pairing Hamiltonian. This makes it possible to investigate the effects of the Pauli principle on the energy spectrum, by…

Strongly Correlated Electrons · Physics 2014-05-07 Mario Van Raemdonck , Stijn De Baerdemacker , Dimitri Van Neck

The (mean field based) BCS theory is considered one of the most successful theories in condensed matter physics. It is justified in ordinary metal superconductors the coherence length $\xi$ is large, with two important features: the order…

Superconductivity · Physics 2018-01-22 Qijin Chen