Article
Materials Science, Multidisciplinary
Andrew Urichuk, Jesko Sirker, Andreas Kluemper
Summary: The spin-1/2 XXZ chain shows non-zero Drude weight at finite temperatures, with the leading orders of the Drude weight expressed as a fractal structure dependent on anisotropy Delta. The analytical results for low-temperature asymptotics were obtained using a thermodynamic Bethe ansatz approach.
Article
Physics, Multidisciplinary
John S. Van Dyke, Edwin Barnes, Sophia E. Economou, Rafael Nepomechie
Summary: The article investigates the spin chain model with diagonal boundary magnetic fields and proposes a probabilistic quantum algorithm for preparing the Bethe states of this model.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Multidisciplinary
Fa-Kai Wen, Kun Hao
Summary: This article investigates the U(1) symmetry breaking problem of the XXZ central spin model with an arbitrary central magnetic field B, and obtains the exact solutions of the system using the off-diagonal Bethe ansatz method. The thermodynamic limit is studied based on these solutions. It is found that the contribution of the inhomogeneous term in the associated T-Q relation to the ground state energy follows an N-1 scaling law, where N is the total number of spins. Additionally, by assuming the structural form of the Bethe roots in the thermodynamic limit, the contribution of the direction of B to the ground state energy is obtained, showing that it is a finite value in the thermodynamic limit, which is caused by the U(1) symmetry breaking of the system.
Article
Physics, Multidisciplinary
Hao Pei, Veronique Terras
Summary: In this paper, we study the XXZ spin-1/2 Heisenberg chain with antiperiodic boundary conditions. The inhomogeneous version of the model is solved by separation of variables, and the eigenstates are constructed using Q-functions. We compute the scalar products of separate states and the form factors of local spin operators, and find determinant representations for these quantities.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Multidisciplinary
Roman N. Lee, Andreas von Manteuffel, Robert M. Schabinger, Alexander Smirnov, Vladimir A. Smirnov, Matthias Steinhauser
Summary: In this study, we computed the photon-quark and Higgs-gluon form factors to four-loop order within massless perturbative quantum chromodynamics. Our results provide ready-to-use building blocks for (NLO)-L-4 cross sections for Drell-Yan processes and gluon-fusion Higgs boson production at the LHC, and we present complete analytic expressions for both form factors and show several of the most complicated master integrals.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Frank Goehmann, Karol K. Kozlowski, Jesko Sirker, Junji Suzuki
Summary: In this study, we present a series representation for the dynamical two-point function of the local spin current for the XXZ chain in the antiferromagnetic massive regime at zero temperature. We can compute the correlation function with high accuracy and interpret the terms in the series as contributions from scattering states of excitations in terms of particles and holes.
Article
Multidisciplinary Sciences
Zhe He, Yide Zhang, Xin Tong, Lei Li, Lihong V. Wang
Summary: Quantum microscopy by coincidence (QMC) with balanced pathlengths enables super-resolution imaging at the Heisenberg limit with higher speeds and contrast-to-noise ratios than existing methods. QMC benefits from a configuration with balanced pathlengths, improving the resolution by a factor of two and resisting stray light up to 155 times stronger than classical signals. QMC promises nondestructive bioimaging with its low intensity and entanglement features.
NATURE COMMUNICATIONS
(2023)
Article
Materials Science, Multidisciplinary
Santanu Pal, Prakash Sharma, Hitesh J. Changlani, Sumiran Pujari
Summary: This study investigates the origin of magnetically ordered phases in the XY regime of the XXZ Heisenberg model phase diagram, demonstrating a quantum-classical correspondence in the presence of solvable points. The findings show the ordered physics in the extreme XY regime can adiabatically extend to a more isotropic regime. Additionally, the projective structure of the coloring ground states is highlighted to compute correlators, providing insights into the features of static spin structure factors and correlation ratios.
Article
Materials Science, Multidisciplinary
Ning Wu, Hosho Katsura, Sheng-Wen Li, Xiaoming Cai, Xi-Wen Guan
Summary: This study solves few-magnon problems for a finite-size spin-S periodic Heisenberg XXZ chain with single-ion anisotropy by constructing sets of exact Bloch states achieving block diagonalization. It reveals various types of multimagnon bound states within certain parameter ranges and shows them to correspond to edge states on effective lattices. By simulating single-particle quantum walks on effective lattices, a physically transparent interpretation of the observed dynamics in terms of propagation of bound state excitations is provided.
Article
Physics, Multidisciplinary
Aleksander Kubica, Rafal Demkowicz-Dobrzanski
Summary: The study presents a simple proof of the approximate Eastin-Knill theorem, connecting the quality of quantum error-correcting codes (QECC) with their ability to achieve a universal set of transversal logical gates. By utilizing powerful bounds on quantum Fisher information in generic quantum metrological protocols, the QECC performance can be characterized in terms of worst-case entanglement fidelity. The theorem applies to a wide range of decoherence models, including erasure and depolarizing noise. The unorthodox approach of applying quantum metrology methods to explore the limitations of QECCs sets this study apart from traditional noise mitigation strategies.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Yuan Miao, Jules Lamers, Vincent Pasquier
Summary: This research constructs Baxter's Q operator at arbitrary anisotropy in the Heisenberg XXZ chain using a two-parameter transfer matrix and explores truncated fusion and Wronskian relations, along with an interpolation formula conjecture. By connecting findings with the 'string-charge duality' in the thermodynamic limit, a conjecture for the imaginary part of FM string centers is proposed, potentially applicable to out-of-equilibrium physics.
Article
Astronomy & Astrophysics
Ken-ichi Ishikawa, Naruhito Ishizuka, Yoshinobu Kuramashi, Yusuke Namekawa, Yusuke Taniguchi, Naoya Ukita, Takeshi Yamazaki, Tomoteru Yoshie
Summary: This paper presents updated results for the form factors of the kaon semileptonic decay process. The calculations were performed using a nonperturbatively Ooa-improved Wilson quark action and Iwasaki gauge action. The values of the form factors were obtained through extrapolation and interpolation at different lattice spacings. By combining the results with experimental data, one of the Cabibbo-Kobayashi-Maskawa matrix elements jVusj was determined. The obtained value is in reasonable agreement with other lattice QCD results and the one obtained from the kaon leptonic decay process.
Article
Materials Science, Multidisciplinary
Sasank Budaraju, Yasir Iqbal, Federico Becca, Didier Poilblanc
Summary: The parton approach for quantum spin liquids provides a transparent description of low-energy elementary excitations, such as spinons and emergent gauge-field fluctuations. By modifying the gauge fields in the spinon kinematics, we analyze the effect and construct low-energy monopole excitations, which are shown to be gapless in the thermodynamic limit. Our results support the coexistence of gapless spinons with gapless monopole excitations.
Article
Materials Science, Multidisciplinary
Takuhiro Ogino, Shunsuke Furukawa, Ryui Kaneko, Satoshi Morita, Naoki Kawashima
Summary: In this study, a spin-1/2 XXZ model on a two-leg ladder with a four-spin interaction is investigated, revealing eight distinct gapped phases consisting of symmetry-breaking and featureless phases. The presence of Gaussian and Ising transitions between the different phases, as well as the identification of topological phase transitions, highlights the complexity of the system's behavior under certain symmetries.
Article
Physics, Particles & Fields
Daniele Bielli, Vaibhav Gautam, Alessandro Torrielli
Summary: In this paper, we investigate the form factors for the massless scattering of integrable AdS(2) superstrings. We utilize the difference-form of the S-matrix to implement the relativistic form factor bootstrap due to the non-standard nature of the S-matrix. By considering the limit of a better-behaved S-matrix found by Fendley, we establish the coincidence between the previously conjectured massless AdS(2) dressing factor and the limit of the De Martino-Moriconi improved dressing factor for the Fendley S-matrix. Additionally, we solve the form factor constraints in the two-particle case and provide integral representations of relativistic dressing factors that satisfy specific assumptions, using them to prove crossing and unitarity relations.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Editorial Material
Physics, Multidisciplinary
Nikolai Kitanine, Rafael I. Nepomechie, Nicolai Reshetikhin
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2018)
Article
Physics, Mathematical
J. M. Maillet, G. Niccoli
JOURNAL OF MATHEMATICAL PHYSICS
(2018)
Article
Physics, Multidisciplinary
N. Kitanine, J. M. Maillet, G. Niccoli, V Terras
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2018)
Article
Physics, Multidisciplinary
J. M. Maillet, G. Niccoli
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2019)
Article
Mechanics
J. M. Maillet, G. Niccoli
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2019)
Article
Physics, Multidisciplinary
Jean Michel Maillet, Giuliano Niccoli, Louis Vignoli
Article
Physics, Multidisciplinary
Jean Michel Maillet, Giuliano Niccoli
Summary: The research describes an extension of separation of variables bases for quantum integrable lattice models beyond fundamental representations of the Yang-Baxter algebra. Two different types of SoV bases are constructed, utilizing commuting conserved charges of the quantum integrable models to generate bases with separated spectral problems. The approach is shown to be applicable not only to fundamental models but also to non-fundamental models.
Article
Physics, Multidisciplinary
Hao Pei, Veronique Terras
Summary: In this paper, we study the XXZ spin-1/2 Heisenberg chain with antiperiodic boundary conditions. The inhomogeneous version of the model is solved by separation of variables, and the eigenstates are constructed using Q-functions. We compute the scalar products of separate states and the form factors of local spin operators, and find determinant representations for these quantities.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Mathematical
Nikolai Kitanine, Giridhar Kulkarni
Summary: In this article, the thermodynamic limit of the form factors of the XXX Heisenberg spin chain is studied using the algebraic Bethe ansatz approach. The main goal is to express the form factors for low-lying excited states as determinants of matrices that remain finite dimensional in the thermodynamic limit, and to demonstrate how to treat all types of complex roots of the Bethe equations within this framework. The Gaudin determinant for the higher level Bethe equations is shown to naturally arise from the algebraic Bethe ansatz.
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
(2021)
Article
Physics, Multidisciplinary
G. Niccoli, V Terras
Summary: In this paper, we study the correlation functions of open quantum spin 1/2 chains with unparallel magnetic fields on the edges, focusing on the more complex case of the XXZ spin 1/2 chains within the framework of quantum separation of variables. We show that under special boundary conditions, we obtain simple spectrum characterization and description of the action of local operators on transfer matrix eigenstates as linear combinations of separate states.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Multidisciplinary
Jean Michel Maillet, Giuliano Niccoli, Louis Vignoli
Article
Physics, Multidisciplinary
Sebastian Grijalva, Jacopo De Nardis, Veronique Terras
Article
Physics, Multidisciplinary
Nikolai Kitanine, Giridhar Kulkarni
Article
Physics, Multidisciplinary
Jean Michel Maillet, Giuliano Niccoli
Article
Physics, Multidisciplinary
Jean Michel Maillet, Giuliano Niccoli, Baptiste Pezelier