Research

Nonequilibrium dynamics of QCD

With Yoshimasa and Yuta, I studied the real-time dynamics of non-abelian Yang mills theory with a particular focus on thermalization and information scrambling on the basis of the Hamiltonian formulation of lattice gauge theory.

References

Tomoya Hayata, Yoshimasa Hidaka

"Thermalization of Yang-Mills theory in a (3+1) dimensional small lattice system"

Phys. Rev. D 103 094502 (2021) [arXiv:2011.09814 [hep-lat]]

Tomoya Hayata, Yoshimasa Hidaka, Yuta Kikuchi

"Diagnosis of information scrambling from Hamiltonian evolution under decoherence"

Phys. Rev. D 104, 074518 (2021) [arXiv:2103.05179 [quant-ph]]

Time evolution of the Wilson loop in units of β (inverse temperature) for K = 5 (blue), K = 10 (red), K = 15 (green), and K = 25 (magenta). The dashed lines show the canonical ensemble average. The thermalization time of the Wilson loop is estimated as 2πβ.

The recovery fidelity of the Hayden-Preskill recovery protocol. The black line represents the recovery fidelity under evolution with a Haar random unitary operator.

Quantum Monte Carlo simulation of non-Hermitian systems

With Arata and Yoshimasa, I studied non-Hermitian Hubbard model on the basis of the sign-free quantum Monte Carlo, and found an exotic nonequilibrium phase transition unique to non-Hermitian quantum many-body systems.

References

Tomoya Hayata, Arata Yamamoto

"Non-Hermitian Hubbard model without the sign problem"

Phys. Rev. B 104 125102 (2021) [arXiv:2106.06192 [cond-mat.str-el]]

Tomoya Hayata, Yoshimasa Hidaka, Arata Yamamoto

"Dynamical quantum phase transition in a non-Hermitian Hubbard model"

[arXiv:2111.03893 [cond-mat.quant-gas]]

Tomoya Hayata, Yoshimasa Hidaka, Arata Yamamoto

"Lattice Lindblad simulation"

PTEP 2022 (2022) 5, 053B03 [selected as Editor's choice] [arXiv:2111.04937 [hep-lat]]

Time evolution of the ferromagnetic spin structure factor computed by the sign-free quantum Monte Carlo. The magnetic correlation suddenly changes from paramagnetic to ferromagnetic at a certain time.

Nonequilibrium magnetic phase diagram obtained from the finite-size scaling analysis of the quantum Monte Carlo data.

Chirality-induced transport phenomena

I studied macroscopic transport phenomena originating from microscopic chirality in branches of physics such as QCD, Weyl/Dirac semimetals, lights, and active nematics.

References

Hiroaki Ishizuka, Tomoya Hayata, Masahito Ueda, Naoto Nagaosa

"Emergent Electromagnetic Induction and Adiabatic Charge Pumping in Noncentrosymmetric Weyl Semimetals"

Phys. Rev. Lett. 117 216601 (2016) [arXiv:1607.06537 [cond-mat.mes-hall]]

Tomoya Hayata, Yoshimasa Hidaka

"Kinetic derivation of generalized phase space Chern-Simons theory"

Phys. Rev. B 95 125137 (2017) [arXiv:1610.01879 [cond-mat.mes-hall]]

Tomoya Hayata, Yuta Kikuchi, Yuya Tanizaki

"Topological Properties of the Chiral Magnetic Effect in Multi-Weyl Semimetals"

Phys. Rev. B 96 085112 (2017) [arXiv:1703.02040 [cond-mat.mes-hall]]

Tomoya Hayata

"Chiral magnetic effect of light"

Phys. Rev. B 97 205102 (2018) [arXiv:1705.09926 [physics.optics]]

Lisa Yamauchi, Tomoya Hayata, Masahito Uwamichi, Tomoki Ozawa, Kyogo Kawaguchi

"Chirality-driven edge flow and non-Hermitian topology in active nematic cells"

[arXiv:2008.10852 [cond-mat.soft]]

Atsuo Shitade, Kazuya Mameda, Tomoya Hayata

"Chiral vortical effect in relativistic and nonrelativistic systems"

Phys. Rev. B 102 205201 (2020) [arXiv:2008.13320 [cond-mat.mes-hall]]