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Atoms confined in a harmonic potential show universal oscillations in 2D. We point out the connection of these ''breathing'' modes to the presence of a hidden symmetry. The underlying symmetry SO(2,1), i.e. the two dimensional Lorentz…

Condensed Matter · Physics 2016-08-31 L. P. Pitaevskii , A. Rosch

We discuss pairing of light-matter bosons under effective spin-orbit (SO) coupling in two-dimensional semiconductors. The SO coupling is shown to induce dynamical broadening of a two-body bound state. Application of a transverse magnetic…

Quantum Gases · Physics 2022-11-02 Sergueï V. Andreev

We study entanglement and spin squeezing in the ground state of three qubits interacting via the transverse Ising model. We give analytical results for the entanglement and spin squeezing, and a quantitative relation between the…

Quantum Physics · Physics 2016-09-08 XiaoGuang Wang

Summary. A simple derivation of finite Schmidt decomposition of pure states describing finite dimensional systems interacting with the infinite dimensional ones is presented. In particular, maximally entangled pure states in such systems…

Quantum Physics · Physics 2018-03-28 Roman Gielerak

The states of a three-mode bosonic system with the restricted Hilbert space are discussed in the context of quantum entanglement and squeezing of quantum fluctuations. The states exhibiting non-zero tripartite entanglement are considered.…

Quantum Physics · Physics 2026-03-06 Joanna K. Kalaga , Jan Perina

A representation of the SO(3) group is mapped into a maximally entangled two qubit state according to literatures. To show the evolution of the entangled state, a model is set up on an maximally entangled electron pair, two electrons of…

Quantum Physics · Physics 2009-11-10 W. LiMing , Z. L. Tang , C. J. Liao

We revisit in detail the non-mean-field ground-state phase diagram for a binary mixture of spin-1 Bose-Einstein condensates including quantum fluctuations. The non-commuting terms in the spin-dependent Hamiltonian under single spatial mode…

Quantum Gases · Physics 2011-12-30 Z. F. Xu , R. Lü , L. You

Starting from a realistic extended Hubbard model for a $p_{x,y}$-orbital tight-binding model on the Honeycomb lattice, we perform a thorough investigation on the possible electron instabilities in the MA-TBG near the van Hove (VH) dopings.…

Strongly Correlated Electrons · Physics 2022-08-01 Chen Lu , Yongyou Zhang , Yu Zhang , Ming Zhang , Cheng-Cheng Liu , Yu Wang , Zheng-Cheng Gu , Wei-Qiang Chen , Fan Yang

Bose-Einstein condensates of dilute atomic gases, characterized by a macroscopic population of the quantum mechanical ground state, are a new, weakly interacting quantum fluid. In most experiments condensates in a single weak field seeking…

Statistical Mechanics · Physics 2015-06-25 J. Stenger , S. Inouye , D. M. Stamper-Kurn , H. -J. Miesner , A. P. Chikkatur , W. Ketterle

Two-mode squeezed states, which are entangled states with bipartite quantum correlations in continuous-variable systems, are crucial in quantum information processing and metrology. Recently, continuous-variable quantum computing with the…

Quantum Physics · Physics 2023-11-10 Wui Seng Leong , Mingjie Xin , Zilong Chen , Yu Wang , Shau-Yu Lan

We derive spin squeezing inequalities that generalize the concept of the spin squeezing parameter and provide necessary and sufficient conditions for genuine 2-, or 3- qubit entanglement for symmetric states, and sufficient condition for…

Quantum Physics · Physics 2009-11-11 J. Korbicz , J. I. Cirac , M. Lewenstein

It is shown that the SU(1,1)-like and SU(2)-like two-photon coherent states can be combined to form a O(3,2)-like two-photon states. Since the O(3,2) group has many subgroups, there are also many new interesting new coherent and squeezed…

Optics · Physics 2008-11-06 D. Han , Y. S. Kim

We provide an explicit construction of entangled states in a noncommutative space with nonclassical states, particularly with the squeezed states. Noncommutative systems are found to be more entangled than the usual quantum mechanical…

Quantum Physics · Physics 2015-06-18 Sanjib Dey , Véronique Hussin

Using a quantum theory for an ensemble of three-level atoms (lambda) placed in an optical cavity abd driven by electromagnetic fields, we show that the long-lived spin associated with the ground state sublevels can be squeezed. Two kinds of…

Quantum Physics · Physics 2009-11-07 A. Dantan , M. Pinard , V. Josse , N. Nayak , P. R. Berman

We propose and analyze a scheme to entangle the collective spin states of two spatially separated bimodal Bose-Einstein condensates. Using a four-mode approximation for the atomic field, we show that elastic collisions in a state-dependent…

Quantum Gases · Physics 2013-11-25 Hadrien Kurkjian , Krzysztof Pawlowski , Philipp Treutlein , Alice Sinatra

We consider the superpositions of spin coherent states and study the coherence properties and spin squeezing in these states. The spin squeezing is examined using a new version of spectroscopic squeezing criteria. The results show that the…

Quantum Physics · Physics 2009-11-07 Xiaoguang Wang

Spin squeezing - a central resource for quantum metrology - can be generated via the non-linear, entangling evolution of an initially factorized spin state. Here we show that robust (i.e. persistent) squeezing dynamics is generated by a…

Strongly Correlated Electrons · Physics 2022-03-01 Tommaso Comparin , Fabio Mezzacapo , Tommaso Roscilde

Squeezing of collective atomic spins has been shown to improve the sensitivity of atomic clocks and magnetometers to levels significantly below the standard quantum limit. In most cases the requisite atom-atom entanglement has been…

We study spin correlations in Bose-Einstein condensates of spin 1 bosons with scatterings dominated by a total spin equal 2 channel. We show the low energy spin dynamics in the system can be mapped into an $o(n)$ nonlinear sigma…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Fei Zhou

We study trapped 2D atomic Bose-Einstein condensates with spin-independent interactions in the presence of an isotropic spin-orbit coupling, showing that a rich physics results from the non-trivial interplay between spin-orbit coupling,…

Quantum Gases · Physics 2015-05-30 Subhasis Sinha , Rejish Nath , Luis Santos
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