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Пиле Ян Эрнестович

Факультет компьютерных наук

Профиль на hse.ru ↗ тел.: 27353
Публикаций
7
Языков
2
Наград
3
Конференций
0
Профиль Публикации (7) Курсы (3)

Профессиональные интересы

сверхпроводимостьтензорные разложениястатистическое тестированиевычислительные методы

Должности

  • Старший преподаватель — Факультет компьютерных наук, Департамент больших данных и информационного поиска
  • Эксперт — Факультет компьютерных наук, Центр непрерывного образования
  • Стажер-исследователь — Московский институт электроники и математики им. А.Н. Тихонова, Лаборатория вычислительной физики
  • Старший преподаватель — Московский институт электроники и математики им. А.Н. Тихонова, Департамент прикладной математики

Био

  • · Начал работать в НИУ ВШЭ в 2021 году.

Образование

  • 2026 · Кандидат наук: Национальный исследовательский университет "Высшая школа экономики"
  • 2016 · Специалитет: Московский государственный университет им. М.В. Ломоносова, специальность «Физика», квалификация «Физик»

Опыт работы

  • · 2025 - н.в.: Руководитель направления доступности товаров (Магнит): февраль
  • · 2024: Руководитель аналитики товарных рекомендаций (Wildberries): март февраль
  • · 2020: Руководитель группы аналитики (VK): август март
  • · 2024: Аналитик (Яндекс.Маркет): декабрь
  • · 2018: август
  • · 2020: Главный эксперт (UniCredit Bank): май
  • · 2017: декабрь

Награды и поощрения

  • · Благодарность департамента больших данных и информационного поиска НИУ ВШЭ (декабрь 2024)
  • · Надбавка за публикацию в журнале из Списка А (и приравненном к нему научном издании) (2025–2026)
  • · Лучший преподаватель — 2024–2025

Идентификаторы исследователя

Публикации (7)

Algorithmic overlaps as thermodynamic variables: from local to cluster Monte Carlo dynamics in critical phenomena

2026 · PREPRINT · en

We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two successive Wolff clusters reflects critical behavior and can be used as an order parameter for the algorithm's dynamics. In the case of the Svendsen-Wang algorithm, similar behavior is demonstrated by the variation in the overlap of two consecutive lattice configurations, which behaves like order parameter. Nothing similar is observed for the Metropolis algorithm, and the dynamics in the critical region are determined by the spin flip frequency, which is equivalent to the acceptance rate. Thus, the critical behavior of Wolff cluster overlap and the variation of configuration overlap in the Svendsen-Wang algorithm are naturally related to the critical behavior of geometric objects—Fortuin-Kastelein clusters. Interestingly, in all cases, the geometric quantity—configuration overlap or its variation—reflects the thermodynamics of the phase transition.

DOI ↗ PDF ↗

Superconductivity and Trimer Formation in Attractive Hubbard Ladders

2026 · CHAPTER · en

We investigate the interplay between superconducting correlations and trimer formation in polarized two-component Fermi gases confined to multileg attractive Hubbard ladders. Using density-matrix renormalization group (DMRG) simulations, we examine the effects of spin-dependent tunneling amplitudes on these systems. Specifically, we analyze how bound states of three fermions (trimers) influence Fulde–Ferrell–Larkin–Ovchinnikov (FFLO) superconducting correlations at commensurate charge carrier densities, where . In one-dimensional (1D) systems, trimer formation is known to suppress FFLO correlations exponentially. Our results show that this suppression persists in narrow ladder lattices, effectively mirroring the 1D behavior. However, we observe a striking departure from the 1D regime as the ladder width increases. For ladders with four legs, the impact of trimers on superconducting correlations becomes negligible, suggesting that wider systems host a distinct environment where FFLO-like pairing remains robust even in the presence of trimer states. These findings highlight the dimensional crossover in Hubbard systems and elucidate the mechanisms governing superconductivity and bound-state formation in strongly correlated fermionic systems. Our work has implications for understanding unconventional superconductivity in such systems.

DOI ↗

Superconductivity and trimers on attractive-U Hubbard ladders

2025 в печати · PREPRINT · en

We investigate the interplay between superconducting correlations and trimer formation in polarized two-component Fermi gases confined to multileg attractive-U Hubbard ladders. Employing density matrix renormalization group (DMRG) simulations, we explore the effects of spin-dependent tunneling amplitudes on these systems. Specifically, we analyze how bound states of three fermions (trimers) impact Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superconducting correlations at commensurate charge carrier densities, where 2n↑=n↓. In one-dimensional (1D) systems, trimer formation is known to suppress FFLO correlations exponentially. Our results demonstrate that this suppression persists on ladder lattices of small width, effectively mirroring the 1D behavior. However, we find a striking departure from the 1D regime as the ladder width increases. On ladders with a width of four legs, the influence of trimers on superconducting correlations becomes negligible, suggesting that wider ladder systems provide a distinct environment where FFLO-like pairing remains robust even in the presence of trimer states. These findings underscore the dimensional crossover in Hubbard systems and shed light on the mechanisms governing superconductivity and bound-state formation in strongly correlated fermionic systems. Our work has implications for understanding unconventional superconductivity in strongly correlated systems.

DOI ↗

On convergence of different bootstrap approximations for medians

2025 · ARTICLE · en

This study aims to investigate the convergence properties of the exact closed-form formula for the distribution of indices in a sorted sample being medians of Poisson-bootstrapped subsamples toward the binomial distribution. We find that although the two distributions do not coincide exactly, their asymptotic behaviors are of the same order, specifically O(1/√n) as the sample size n increases. The findings have significant implications for statistical inference and resampling techniques, as they provide deeper insights into the efficiency and accuracy of the Poisson bootstrap method.

DOI ↗

Two-dimensional polarized superfluids through the prism of the fermion sign problem

2024 · ARTICLE · en

Understanding if attractive fermions in an unbalanced occupation of its flavors can give rise to a superfluid state in two dimensions (2D), realizing the Fulde-Ferrel-Larkin-Ovchinnikov (FFLO) state, presents a long-standing question. A limitation on its solution by numerics is posed by the sign problem, which constrains the applicability of quantum Monte Carlo techniques at sufficiently low temperatures and large lattice sizes, where a potential signature of polarized superfluidity would be unambiguous. By using a recently explored argument that the sign problem may be used instead to infer quantum critical behavior, we explore the regime where partial polarization occurs in the phase diagram, further showing that the average sign ⟨S⟩ of quantum Monte Carlo weights tracks the criticality between balanced (or fully polarized) and polarized phases. Using the attractive Hubbard model with an unbalanced population, our investigation expands the scope of problems in which ⟨S⟩ can be used for monitoring critical behavior, providing compelling albeit indirect evidence for the robustness of an FFLO phase in 2D.

DOI ↗

Dimensional crossover on multileg attractive-U Hubbard ladders

2023 · ARTICLE · en

We study the ground-state properties of a polarized two-component Fermi gas on multileg attractive-U Hubbard ladders. Using exact diagonalization and density-matrix renormalization-group-method simulations, we construct grand-canonical phase diagrams for ladder widths of up to W=5 and varying perpendicular geometries, characterizing the quasi-one-dimensional regime of the dimensional crossover. We unveil a multicritical point marking the onset of partial polarization in those phase diagrams, a candidate regime of finite-momentum pairing. We compare our findings with recent experimental and theoretical studies of quasi-one-dimensional polarized Fermi gases.

DOI ↗

Quasi-one-Dimensional Polarized Superfluids: A DMRG Study

2022 · CHAPTER · en

We study the dimensional crossover of polarized superfluids. Employing large-scale numerical simulations the attractive Hubbard on multi-leg ladders with up to five legs, we construct ground-state phase diagrams which feature polarized (Fulde-Ferrell-Larkin-Ovchinnikov like) and unpolarized (Bardeen-Cooper-Schrieffer like) phases and trace the crossover from strictly one-dimensional behavior to higher dimensions. We pay special attention to the quasi-one-dimensional regime, where mean-field approximate approaches lead to artifacts due to uncontrollable nature of approximations.

DOI ↗

Курсы (3)