Zobrazeno 1 - 10
of 191
pro vyhledávání: '"Gritsev, Vladimir"'
Autor:
Sharipov, Rustem, Tiutiakina, Anastasiia, Gorsky, Alexander, Gritsev, Vladimir, Polkovnikov, Anatoli
The quantum geometric tensor (QGT) characterizes the Hilbert space geometry of the eigenstates of a parameter-dependent Hamiltonian. In recent years, the QGT and related quantities have found extensive theoretical and experimental utility, in particu
Externí odkaz:
http://arxiv.org/abs/2411.11968
We study the relationship between integrable Landau-Zener (LZ) models and Knizhnik-Zamolodchikov (KZ) equations. The latter are originally equations for the correlation functions of two-dimensional conformal field theories, but can also be interprete
Externí odkaz:
http://arxiv.org/abs/2409.17053
Publikováno v:
J. Phys. A: Math. Theor. 57 375201 (2024)
We explore the algebraic structure of a particular ansatz of Yang Baxter Equation which is inspired from the Bethe Ansatz treatment of the ASEP spin-model. Various classes of Hamiltonian density arriving from two types of R-Matrices are found which a
Externí odkaz:
http://arxiv.org/abs/2403.03159
The Yang-Baxter Equation (YBE) plays a crucial role for studying integrable many-body quantum systems. Many known YBE solutions provide various examples ranging from quantum spin chains to superconducting systems. Models of solvable statistical mecha
Externí odkaz:
http://arxiv.org/abs/2401.12710
Publikováno v:
Nonlinear Phenom. Complex Syst. 26, 293 (2023)
We discuss one family of possible generalizations of the Jaynes-Cummings and the Tavis-Cummings models using the technique of algebraic Bethe ansatz related to the Gaudin-type models. In particular, we present a family of (generically) non-Hermitian
Externí odkaz:
http://arxiv.org/abs/2309.12984
Autor:
Lotkov, Anatolii I., Kurlov, Denis V., Fedorov, Aleksey K., Nemkov, Nikita A., Gritsev, Vladimir
Publikováno v:
Phys. Rev. B 108, 064312 (2023)
Conformal symmetry governs the behavior of closed systems near second-order phase transitions, and is expected to emerge in open systems going through dissipative phase transitions. We propose a framework allowing for a manifest description of confor
Externí odkaz:
http://arxiv.org/abs/2305.01629
Autor:
Orlov, Pavel, Tiutiakina, Anastasiia, Sharipov, Rustem, Petrova, Elena, Gritsev, Vladimir, Kurlov, Denis V.
We consider the spin-1/2 XXX chain weakly perturbed away from integrability by an isotropic next-to-nearest neighbor exchange interaction. Recently, it was conjectured that this model possesses an infinite tower of quasiconserved integrals of motion
Externí odkaz:
http://arxiv.org/abs/2303.00729
Publikováno v:
SciPost Phys. 15, 106 (2023)
We discuss a construction of quantum many-body scars in the context of holography. We consider two-dimensional conformal field theories and use their dynamical symmetries, naturally realized through the Virasoro algebra, to construct scarred states.
Externí odkaz:
http://arxiv.org/abs/2212.05962
Autor:
Bahovadinov, Murod S., Buijsman, Wouter, Fedorov, Aleksey K., Gritsev, Vladimir, Kurlov, Denis V.
Publikováno v:
Phys. Rev. B 106, 224205 (2022)
We study the effects of a random magnetic field on a one-dimensional (1D) spin-1 chain with {\it correlated} nearest-neighbor $XY$ interaction. We show that this spin model can be exactly mapped onto the 1D disordered tight-binding model of ${\mathbb
Externí odkaz:
http://arxiv.org/abs/2210.02947
Unitary matrix integrals over symmetric polynomials play an important role in a wide variety of applications, including random matrix theory, gauge theory, number theory, and enumerative combinatorics. We derive novel results on such integrals and ap
Externí odkaz:
http://arxiv.org/abs/2209.06538