Generalization of Balian-Brezin decomposition for exponentials with linear fermionic partFermionic Gaussian states have garnered considerable attention due to their intriguing properties, most notably Wick's theorem. Expanding upon the work of Balian and Brezin, who generalized…M. A. Seifi Mirjafarlou, A. Jafarizadeh, M. A. Rajabpour·Jun 23, 2023SaveLearn
Inverse spectral problem for the Schr\"odinger operator on the square latticeWe consider an inverse spectral problem on a quantum graph associated with the square lattice. Assuming that the potentials on the edges are compactly supported and symmetric, we show that the…Dongjie Wu, Chuan-Fu Yang, Natalia Pavlovna Bondarenko·Jun 23, 2023SaveLearn
Suzuki Type Estimates for Exponentiated Sums and Generalized Lie-Trotter Formulas in JB-AlgebrasLie-Trotter-Suzuki product formulas are ubiquitous in quantum mechanics, computing, and simulations. Approximating exponentiated sums with Jordan product formulas are investigated in the setting of…Sarah Chehade, Shuzhou Wang, Zhenhua Wang·Jun 22, 2023SaveLearn
The deformed Inozemtsev spin chainThe Inozemtsev chain is an exactly solvable interpolation between the short-range Heisenberg and long-range Haldane-Shastry (HS) chains. In order to unlock its potential to study spin interactions…Rob Klabbers, Jules Lamers·Jun 22, 2023SaveLearn
Scalar products of Bethe vectors in the generalized algebraic Bethe ansatzWe consider an XYZ spin chain within the framework of the generalized algebraic Bethe ansatz. We study scalar products of the transfer matrix eigenvectors and arbitrary Bethe vectors. In the…G. Kulkarni, N. A. Slavnov·Jun 22, 2023SaveLearn
The dual Derrida-Retaux conjectureWe consider a recursive system (Xn) which was introduced by Collet et al. [10] as a spin glass model, and later by Derrida, Hakim, and Vannimenus [13] and by Derrida and Retaux [14] as a…Xinxing Chen, Yueyun Hu, Zhan Shi·Jun 22, 2023SaveLearn
Gradient Flow of the Sinai-Ruelle-Bowen EntropyWe study both the local and global existence of a gradient flow of the Sinai-Ruelle-Bowen entropy functional on a Hilbert manifold of expanding maps of a circle equipped with a Sobolev norm in the…Miaohua Jiang·Jun 21, 2023SaveLearn
The osp(1|2) 2 graded algebra and its irreducible representationsIn this paper, we construct finite dimensional irreducible representations for two different versions of 2 graded osp(1|2) algebra based on eight- and ten-generators. We find that there are two…Fahad Sameer Alshammari, Md Fazlul Hoque, Jambulingam Segar·Jun 21, 2023SaveLearn
Spectral quantization of discrete random walks on half-line, and orthogonal polynomials on the unit circleWe define quantization scheme for discrete-time random walks on the half-line consistent with Szegedy's quantization of finite Markov chains. Motivated by the Karlin and McGregor description of…Adam Doliwa, Artur Siemaszko·Jun 21, 2023SaveLearn
Local Statistics in Normal Matrix Models with Merging SingularityWe study the normal matrix model, also known as the two-dimensional one-component plasma at a specific temperature, with merging singularity. As the number n of particles tends to infinity we…Torben Krüger, Seung-Yeop Lee, Meng Yang·Jun 21, 2023SaveLearn
Rigorous derivation of the Efimov effect in a simple modelWe consider a system of three identical bosons in R3 with two-body zero-range interactions and a three-body hard-core repulsion of a given radius a>0. Using a quadratic form approach we…Davide Fermi, Daniele Ferretti, Alessandro Teta·Jun 21, 2023SaveLearn
Winding Number Statistics for Chiral Random Matrices: Averaging Ratios of Parametric Determinants in the Orthogonal CaseWe extend our recent study of winding number density statistics in Gaussian random matrix ensembles of the chiral unitary (AIII) and chiral symplectic (CII) classes. Here, we consider the chiral…Nico Hahn, Mario Kieburg, Omri Gat et al.·Jun 21, 2023SaveLearn
Structure of deformed w1+∞ symmetry and topological generalization in Celestial CFTWe investigate a deformation of w1+∞ algebra recently introduced in arxiv:2111.11356 in the context of Celestial CFT that we denote by W1+∞ algebra. We obtain the…Pavel Drozdov, Taro Kimura·Jun 20, 2023SaveLearn
Semi-infinite construction of one-dimensional lattice vertex superalgebrasWe construct the Feigin-Stoyanovsky (combinatorial) basis in case of one-dimensional lattice vertex superalgebras VN\,Z. Our proof is based on invariance of semi-infinite…Timur Kenzhaev·Jun 20, 2023SaveLearn
Geometry of quasiperiodic functions on the planeThe present article proposes a review of the most recent results obtained in the study of Novikov's problem on the description of the geometry of the level lines of quasi-periodic functions in the…I. A. Dynnikov, A. Ya. Maltsev, S. P. Novikov·Jun 20, 2023SaveLearn
Dynamics and Quantum Optimal Transport: Three lectures on quantum entropy and quantum Markov semigroupsThis document presents the contents of three lectures delivered by the author at the Erdos Center School ``Optimal Transport on Quantum Structures'', Septemer 19-23, 2022 in Budapest, Hungary. It…Eric Carlen·Jun 19, 2023SaveLearn
Resonance expansion for quantum walks and its applications to the long-time behaviorIn this paper, resonances are introduced to a class of quantum walks on Z. Resonances are defined as poles of the meromorphically extended resolvent of the unitary time evolution operator.…Kenta Higuchi, Hisashi Morioka, Etsuo Segawa·Jun 19, 2023SaveLearn
Exact Multicentered Static Point Charge Source Distributions in the Born-Infeld Theory of Nonlinear Electromagnetism and Presence of Electric and Magnetic CurrentsExact multicentered solutions to the governing equations of the Born--Infeld nonlinear theory of electrodynamics describing distributions of electric, magnetic, and dyonic point charge sources are…Yisong Yang·Jun 19, 2023SaveLearn
Action principles for dissipative, non-holonomic Newtonian mechanicsA methodology for deriving dual variational principles for the classical Newtonian mechanics of mass points in the presence of applied forces, interaction forces, and constraints, all with a general…Amit Acharya, Ambar N. Sengupta·Jun 18, 2023SaveLearn
Realizations of the Extended Snyder ModelWe present the exact realization of the extended Snyder model. Using similarity transformations, we construct realizations of the original Snyder and the extended Snyder models. Finally, we present…Tea Martinić Bilać, Stjepan Meljanac·Jun 18, 2023SaveLearn
Nonlocal PDEs and Quantum Optics: Bound States and ResonancesWe consider the quantum optics of a single photon interacting with a system of two level atoms. This leads to the study of a nonlinear eigenproblem for a system of nonlocal partial differential…Erik Orvehed Hiltunen, Joseph Kraisler, John C Schotland et al.·Jun 17, 2023SaveLearn
A new look at the theory of point interactionsWe investigate the entire family of multi-center point interaction Hamiltonians. We show that a large sub-family of these operators do not become either singular or trivial when the positions of two…R. Figari, H. Saberbaghi, A. Teta·Jun 17, 2023SaveLearn
Construction of topological representation of geometric patterns using Cantor self-similar setUniversal representation of geometric patterns of disordered matters is investigated with the aid of general topology. By utilizing the result obtained in the previous study (S. Ohmori, et.al., Phys.…Shousuke Ohmori, Yoshihiro Yamazaki, Tomoyuki Yamamoto et al.·Jun 17, 2023SaveLearn
Remarks on the Z/p Dijkgraaf-Witten invariants of 3D mapping toriWe make some remarks on the Z/p Dijkgraaf-Witten invariants of 3D mapping tori and determine the asymptotic behavior of their sum over all diffeomorphism classes of genus one mapping tori.William Chen, Alex Kontorovich, Shehryar Sikander·Jun 16, 2023SaveLearn
On a sharper bound on the stability of non-autonomous Schr\"odinger equations and applications to quantum controlWe study the stability of the Schr\"odinger equation generated by time-dependent Hamiltonians with constant form domain. That is, we bound the difference between solutions of the Schr\"odinger…Aitor Balmaseda, Davide Lonigro, Juan Manuel Pérez-Pardo·Jun 16, 2023SaveLearn