Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Andrei G Pronko"'
Publikováno v:
New Journal of Physics, Vol 18, Iss 4, p 045005 (2016)
We investigate a free one-dimensional spinless Fermi gas, and the Tonks–Girardeau gas interacting with a single impurity particle of equal mass. We obtain a Fredholm determinant representation for the time-dependent correlation function of the impu
Externí odkaz:
https://doaj.org/article/17db2bc44bc549d5a4a454fa9a112558
Publikováno v:
Nuclear Physics B, Vol 892, Iss , Pp 83-104 (2015)
We consider a one-dimensional gas of spin-1/2 fermions interacting through δ-function repulsive potential of an arbitrary strength. For the case of all fermions but one having spin up, we calculate time-dependent two-point correlation function of th
Externí odkaz:
https://doaj.org/article/74f47d6136e04fcba3bb39f4bef59c76
Autor:
M. D. Minin, Andrei G. Pronko
Publikováno v:
Journal of Mathematical Sciences. 257:537-550
The six-vertex model on a finite square lattice with the so-called partial domain wall boundary conditions is considered. For the case of rational Boltzmann weights, the polarization on the free boundary of the lattice is computed. For the finite lat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e8616ec65779b563545adeba31ae436
https://doi.org/10.1007/s10958-021-05501-4
https://doi.org/10.1007/s10958-021-05501-4
Publikováno v:
Nuclear Physics B, Vol 972, Iss, Pp 115535-(2021)
Nuclear Physics
Nuclear Physics
We consider the problem of calculation of correlation functions in the six-vertex model with domain wall boundary conditions. To this aim, we formulate the model as a scalar product of off-shell Bethe states, and, by applying the quantum inverse scat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4abf99a0ee2271da44b5011661d48715
Autor:
Andrei G. Pronko, Ivan N. Burenev
We consider the five-vertex model on a finite square lattice with fixed boundary conditions such that the configurations of the model are in a one-to-one correspondence with the boxed plane partitions (3D Young diagrams which fit into a box of given
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b309eb56f3eec6622ce5032f3dfb3450
Publikováno v:
Annales Henri Poincare
Annales Henri Poincare, 2019, 21 (3), pp.865-884. ⟨10.1007/s00023-019-00856-6⟩
Annales Henri Poincare, 2019, 21 (3), pp.865-884. ⟨10.1007/s00023-019-00856-6⟩
We study the relationship between various integral formulas for nonlocal correlation functions of the six-vertex model with domain wall boundary conditions. Specifically, we show how the known representation for the emptiness formation probability ca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3372b34e28771f67e6933cc4b6b02be
https://hal.archives-ouvertes.fr/hal-02497824
https://hal.archives-ouvertes.fr/hal-02497824
Autor:
A. V. Kitaev, Andrei G. Pronko
Publikováno v:
Communications in Mathematical Physics. 345:305-354
We show that the emptiness formation probability of the six-vertex model with domain wall boundary conditions at its free-fermion point is a $\tau$-function of the sixth Painlev\'e equation. Using this fact we derive asymptotics of the emptiness form
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da1153b2e8833afcb0bbcdfc13197e6b
https://doi.org/10.1007/s00220-016-2636-5
https://doi.org/10.1007/s00220-016-2636-5
Autor:
Andrei G. Pronko
Publikováno v:
Journal of Mathematical Sciences. 213:756-768
We consider the five-vertex model on an M ×2N lattice with fixed boundary conditions of special type. We discuss a determinantal formula for the partition function in application to description of various enumerations of N × N × (M − N) boxed pl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::11f179da85169bac001302ee4dab11bc
https://doi.org/10.1007/s10958-016-2737-x
https://doi.org/10.1007/s10958-016-2737-x
Publikováno v:
Journal of Statistical Physics
Journal of Statistical Physics, Springer Verlag, 2019, 174 (1), pp.1-27. ⟨10.1007/s10955-018-2170-2⟩
Journal of Statistical Physics, Springer Verlag, 2019, 174 (1), pp.1-27. ⟨10.1007/s10955-018-2170-2⟩
We consider the six-vertex model in an L-shaped domain of the square lattice, with domain wall boundary conditions, in the case of free-fermion vertex weights. We describe how the recently developed `Tangent method' can be used to determine the form
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0724a6e8da590ca54d880136ea9dce43
Autor:
Andrei G. Pronko, Filippo Colomo
Publikováno v:
Communications in Mathematical Physics. 339:699-728
We consider the six-vertex model in an L-shaped domain of the square lattice, with domain wall boundary conditions. For free-fermion vertex weights the partition function can be expressed in terms of some Hankel determinant, or equivalently as a Coul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::953c1017dc6a5f6399b008fb9471b006
https://doi.org/10.1007/s00220-015-2406-9
https://doi.org/10.1007/s00220-015-2406-9