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The Bardeen-Cooper-Schrieffer (BCS)-Bose-Einstein condensation (BEC) crossover in the two-dimensional attractive Hubbard model under the magnetic field is discussed at the half-filling at T=0 K on the basis of the formalism of Eagles and…

Superconductivity · Physics 2015-06-23 Atsushi Tsuruta , Satoshi Hyodo , Kazumasa Miyake

We consider how to generate and detect Einstein-Podolsky-Rosen (EPR) entanglement and the steering paradox between groups of atoms in two separated potential wells in a Bose-Einstein condensate (BEC). We present experimental criteria for…

Quantum Physics · Physics 2015-06-04 Q. Y. He , P. D. Drummond , M. K. Olsen , M. D. Reid

Spatial entanglement is at the heart of quantum enhanced imaging applications and high-dimensional quantum information protocols. In particular, for imaging and sensing applications, quantum states with a macroscopic number of photons are…

Quantum Physics · Physics 2022-07-21 Ashok Kumar , Gaurav Nirala , Alberto M. Marino

We study theoretically the properties of two Bose-Einstein condensates in different spin states, represented by a double Fock state. Individual measurements of the spins of the particles are performed in transverse directions, giving access…

Quantum Physics · Physics 2009-11-13 Franck Laloë , William J. Mullin

We study the spontaneous symmetry breaking of dipolar Bose--Einstein condensates trapped in stacks of two-well systems, which may be effectively built as one-dimensional trapping lattices sliced by a repelling laser sheet. If the potential…

Pattern Formation and Solitons · Physics 2017-08-04 Yongyao Li , Zhiwei Fan , Zhihuan Luo , Yan Liu , Hexiang He , Jiantao Lü , Jianing Xie , Chunqing Huang , Haishu Tan

Following a previous proposition of quaternity spacetime for electronic orbitals in neon shell, this paper describes the geometrical course each electron takes as it oscillates harmonically within a certain quaternity space dimension and…

General Physics · Physics 2007-05-23 Kunming Xu

We investigate the position- and momentum-space two--body correlations in a weakly interacting, harmonically trapped atomic Bose-Einstein condensed gas at low temperatures. The two-body correlations are computed within the Bogoliubov…

Quantum Gases · Physics 2021-01-13 Salvatore Butera , David Clément , Iacopo Carusotto

Relativistic, quantum electrodynamics, as well as non-adiabatic corrections and couplings, are computed for the b $^3\Pi_\mathrm{g}$ and c $^3\Sigma_\mathrm{g}^+$ electronic states of the helium dimer. The underlying Born-Oppenheimer…

Chemical Physics · Physics 2025-09-03 Balázs Rácsai , Péter Jeszenszki , Ádám Margócsy , Edit Mátyus

Two quantum states of two half-charge optical vortexes with relative azimuthal angle {\pi} are orthogonal, by which two half-charge spiral phase plates with intersection angle {\pi} can be used to demonstrate a parabolic coincident fringe…

Quantum Physics · Physics 2018-12-05 Hsiao-Chih Huang

We present a theoretical analysis of three-dimensional (3D) matter-wave solitons and their stability properties in coupled atomic and molecular Bose-Einstein condensates (BEC). The soliton solutions to the mean-field equations are obtained…

Other Condensed Matter · Physics 2009-11-10 T. G. Vaughan , K. V. Kheruntsyan , P. D. Drummond

A novel class of non-local interactions between bosons is found to favor a crystalline Bose-Einstein condensation ground state. By using both low energy effective field theory and variational wavefunction method, we compare this state not…

Quantum Gases · Physics 2011-02-11 Xiaopeng Li , W. Vincent Liu , Chungwei Lin

A three dimensional attractive Bose-Einstein Condensate (BEC) is expected to collapse, when the number of the particles $N$ in the ground state or the interaction strength $\lambda_0$ exceeds a critical value. We study systems of different…

Quantum Gases · Physics 2010-09-28 Marios C. Tsatsos , Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

Structured optical fields have led to several ground-breaking techniques in classical imaging and microscopy. At the same time, in the quantum domain, position-momentum entangled photon fields have been shown to have several unique features…

Conical intersections between electronic states often dictate the chemistry of photoexcited molecules. Recently developed sources of ultrashort extreme ultraviolet (XUV) pulses tuned to element-specific transitions in molecules allow for…

Minimum energy conical intersections can be used to rationalize photochemical processes. In this Letter, we examine an algorithm to locate these structures that does not require the evaluation of nonadiabatic coupling vectors, showing that…

Chemical Physics · Physics 2024-11-15 Sara Angelico , Eirik F. Kjønstad , Henrik Koch

We present a unified, SI-consistent framework to constrain minimal SME coefficients $a_\mu$ and $b_\mu$ using magnetically confined two-dimensional electron systems under a uniform magnetic field. Working in the nonrelativistic…

Mesoscale and Nanoscale Physics · Physics 2025-10-29 Edilberto O. Silva

We present a way of partly reincorporate the effects of the localized bonding electrons on the dynamics of their itinerant counterparts in Hubbard-like Hamiltonians. This is done by relaxing the constraint that the former should be entirely…

Strongly Correlated Electrons · Physics 2020-09-23 T. V. Trevisan , Gustavo M. Monteiro , A. O. Caldeira

The two-fluid Interacting Vector Boson Model (IVBM) with the U(6) as a dynamical group possesses a rich algebraic structure of physical interesting subgroups that define its distinct exactly solvable dynamical limits. The classical images…

Nuclear Theory · Physics 2015-03-19 H. G. Ganev

The spontaneous breaking of the continuous symmetries of the two-dimensional(2D) electron-hole systems in a strong perpendicular magnetic field leads to the formation of new ground states and determines the energy spectra of the collective…

Strongly Correlated Electrons · Physics 2013-09-04 S. A. Moskalenko , M. A. Liberman , E. V. Dumanov , E. S. Moskalenko

The ground-state phase diagram of the asymmetric Hubbard model is studied in one and two dimensions by a well-controlled numerical method. The method allows to calculate directly the probabilities of particular phases in the approximate…

Strongly Correlated Electrons · Physics 2009-11-13 Pavol Farkasovsky