Article
Multidisciplinary Sciences
Hon Wai Hana Lau, Jorn Davidsen, Christoph Simon
Summary: We propose a conservative Hamiltonian system with nonlocal hopping, which can exhibit chimera patterns. We also propose a possible experimentally realizable quantum system based on a two-component Bose-Einstein condensate with a spin-dependent optical lattice, where nonlocal spatial hopping over tens of lattice sites can be achieved and simulations suggest that chimera patterns should be observable in certain parameter regimes.
SCIENTIFIC REPORTS
(2023)
Article
Optics
E. Cuestas, C. Cormick
Summary: This study investigates the conditions under which particles made of two fermions can be treated as elementary bosons, presenting the coboson formalism as a powerful tool. It indicates that the proposed ansatz for the ground state of N pairs may fail in one-dimensional systems, but offers insights on how to recover the correct ground state using the coboson theory.
Article
Physics, Multidisciplinary
Jose Reslen
Summary: The tensor network representation and entanglement distribution of the ground state of a Bethe chain are obtained and studied. The maximum block entanglement is observed at the interplay between single- and many-bodyness. In systems of two fermions, tensor networks with substantial many-body entropy cannot be expressed as a sequence of next-neighbor unitaries applied on an uncorrelated state, but require additional four-next-neighbor unitaries. This finding challenges the idea that ground states can be obtained through next-neighbor operations on an initial tensor network lacking many-body correlations. The work highlights the transcendence of many-bodyness in the implementation of protocols based on matrix product states.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
Article
Multidisciplinary Sciences
Nader Mostaan, Fabian Grusdt, Nathan Goldman
Summary: Studying the topological transport and nonlinear effects in synthetic lattice systems is crucial for understanding the influence of topology in physical phenomena. This research provides insights into the motion of solitons and introduces a nonlinear-induced topological transport effect in ultracold quantum mixtures.
NATURE COMMUNICATIONS
(2022)
Article
Optics
Maciej Lebek, Andrzej Syrwid, Piotr T. Grochowski, Kazimierz Rzazewski
Summary: We analyze the dynamics of one-dimensional quantum gases with strongly attractive contact interactions and find that attractive forces can effectively act as strongly repulsive ones. Our findings extend the theoretical results on the super-Tonks-Girardeau gas and have implications for the domain stability in a two-component Fermi gas. We also discuss the effects of finite-range interactions and analyze the universality of the presented results. Moreover, our conclusions support the existence of metastable quantum droplets in the regime of strongly attractive contact and attractive dipolar interactions.
Article
Physics, Multidisciplinary
Fa-Kai Wen, Xin Zhang
Summary: In this study, the exact solution of the Gaudin model with various interactions was examined using the off-diagonal Bethe ansatz method. The Bethe states of the model were constructed and the behavior of Bethe roots under U(1) symmetry recovery was observed. These findings lay the groundwork for further investigations into the thermodynamic limit, correlation functions, and quantum dynamics of the Gaudin model.
Article
Optics
A. R. Perry, S. Sugawa, F. Salces-Carcoba, Y. Yue, I. B. Spielman
Summary: In this study, the multiple-camera off-resonance defocused (McORD) imaging method is adopted to improve the measurement of column density by eliminating the need for regularization. Experimental results demonstrate that the statistical uncertainties of the McORD method are competitive with absorption and phase-contrast imaging techniques.
Article
Astronomy & Astrophysics
Michael C. Abbott, Ines Aniceto
Summary: This paper presents the first known integrable relativistic field theories that include interacting massive and massless sectors, highlighting the importance of understanding the massless sector for the spectrum of the massive sector. The authors show that terms in the spectrum polynomial in the spatial volume require the full Thermodynamic Bethe Ansatz integral equations, rather than just Liischer-like corrections. The implications of these results for AdS/CFT are noted as motivation for the study, although only field-theory results are presented here.
Article
Physics, Multidisciplinary
Shah Saad Alam, Timothy Skaras, Li Yang, Han Pu
Summary: Dynamical fermionization phenomenon in Tonks-Girardeau gases shows that the momentum density profile approaches that of an ideal Fermi gas after being released from harmonic confinement. By extending the study to a one-dimensional spinor gas of arbitrary spin in a strongly interacting regime, it is analytically proven that the total momentum distribution resembles that of a spinless ideal Fermi gas and each spin component maintains the shape of the initial real space density profile.
PHYSICAL REVIEW LETTERS
(2021)
Article
Materials Science, Multidisciplinary
Parameshwar R. Pasnoori, Junhyun Lee, J. H. Pixley, Natan Andrei, Patrick Azaria
Summary: In this work, the spin-1/2 Heisenberg chain with boundary magnetic fields is studied using a combination of Bethe ansatz and density matrix renormalization group (DMRG) techniques. Different ground states and high-energy bound states are observed depending on the orientation and strength of the boundary magnetic fields. The number of towers in the Hilbert space also changes, indicating a boundary eigenstate phase transition (BEPT). The magnetization profile shows a qualitative change across the critical field. However, it is unclear if the observed phenomena correspond to a genuine phase transition in the ground state.
Article
Physics, Multidisciplinary
A. Liashyk, S. Z. Pakuliak
Summary: This article discusses the application of the zero modes method in obtaining the action of monodromy matrix entries on off-shell Bethe vectors in quantum integrable models associated with U-q(gl(N))-invariant R-matrices. The derived action formulas allow for the calculation of recurrence relations for off-shell Bethe vectors and the highest coefficients of the Bethe vectors' scalar product.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Mechanics
Feng Pan, Yao-Zhong Zhang, Xiaohan Qi, Yue Liang, Yuqing Zhang, Jerry P. Draayer
Summary: The Bethe ansatz solution of the two-axis two-spin Hamiltonian is derived using the Jordan-Schwinger boson realization of the SU(2) algebra. The solution of the Bethe ansatz equations corresponds to zeros of the extended Heine-Stieltjes polynomials. Symmetry properties of excited levels and zeros of the polynomials are discussed, with a detailed study of the case of two equal spins showing symmetric levels and well-entangled excited states.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Astronomy & Astrophysics
Bercel Boldis, Peter Levay
Summary: This paper studies the thermal state of a two-dimensional conformal field theory and finds that the entanglement patterns of the thermal state can be encoded using an underlying CN-1 cluster algebra or represented geometrically by the cyclohedron CN-1.
Article
Physics, Multidisciplinary
Olalla Castro-Alvaredo, Cecilia De Fazio, Benjamin Doyon, Aleksandra A. Ziolkowska
Summary: In this paper, the authors investigate the dynamical signatures of unstable excitations and their effects on the non-equilibrium properties of quantum field theory. Through the analysis of hot matter release and decay, the formation of tails and decay of nonlinear waves of unstable particles are observed, as well as the persistence of a stable population of unstable particles for long times. These signatures of unstable particles are expected to have a high degree of universality.
Article
Physics, Multidisciplinary
Jianying Du, Tong Fu, Jingyi Chen, Shanhe Su, Jincan Chen
Summary: A self-reliant quantum cooler without external control is proposed in this study. By establishing models to study the thermal transport properties of quantum systems interacting with baths, it is found that an unbalanced system coupled with ultracold quantum gases can achieve steady heat flow, and the cooling rate can be enhanced by quantum coherence.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
