On proof of the Wei-Yue Ding’s conjecture for Schrödinger map flow

Kavli Affiliate: Yi Zhou | First 5 Authors: Sheng Wang, Yi Zhou, , , | Summary: Wei-Yue Ding cite{Ding 2002} proposeed a proposition about Schr"odinger map flow in 2002 International Congress of Mathematicians in Beijing, which is called Wei-Yue Ding conjecture by Rodnianski-Rubinstein-Staffilani cite{Rodnianski 2009}. They proved cite{Rodnianski 2009} that Schr"odinger map flow for maps […]


Continue.. On proof of the Wei-Yue Ding’s conjecture for Schrödinger map flow

Periodic Schrödinger map flow on Kähler manifolds

Kavli Affiliate: Yi Zhou | First 5 Authors: Sheng Wang, Yi Zhou, , , | Summary: Wei-Yue Ding cite{Ding 2002} proposeed a proposition about Schr"odinger map flow in 2002 International Congress of Mathematicians in Beijing, which is called Wei-Yue Ding conjecture by Rodnianski-Rubinstein-Staffilani cite{Rodnianski 2009}. They proved cite{Rodnianski 2009} that Schr"odinger map flow for maps […]


Continue.. Periodic Schrödinger map flow on Kähler manifolds

Inverse-current quantum electro-oscillations in a charge-density wave insulator

Kavli Affiliate: Yi Zhou | First 5 Authors: Tian Le, Ruiyang Jiang, Linfeng Tu, Renji Bian, Yiwen Ma | Summary: Quantum magneto-oscillations have long been a vital subject in condensed matter physics, with ubiquitous quantum phenomena and diverse underlying physical mechanisms. Here, we demonstrate the intrinsic and reproducible DC-current-driven quantum electro-oscillations with a periodicity in […]


Continue.. Inverse-current quantum electro-oscillations in a charge-density wave insulator

Analytical theory of cat scars with discrete time crystalline dynamics in Floquet systems

Kavli Affiliate: Biao Huang | First 5 Authors: Biao Huang, , , , | Summary: We reconstruct the spectral pairing (SP) theories to enable analytical descriptions of eigenstate spatiotemporal orders in translation-invariant systems without prethermal conditions. It is shown that the strong Ising interactions and drivings alone stabilize a class of “cat scar" eigenstates with […]


Continue.. Analytical theory of cat scars with discrete time crystalline dynamics in Floquet systems

Analytical theory of cat scars with discrete time crystalline dynamics in Floquet systems

Kavli Affiliate: Biao Huang | First 5 Authors: Biao Huang, , , , | Summary: We reconstruct the spectral pairing (SP) theories to enable analytical descriptions of eigenstate spatiotemporal orders in translation-invariant systems without prethermal conditions. It is shown that the strong Ising interactions and drivings alone stabilize a class of “cat scar" eigenstates with […]


Continue.. Analytical theory of cat scars with discrete time crystalline dynamics in Floquet systems

Scrambling and Recovery of Quantum Information in Inhomogeneous Quenches in Two-dimensional Conformal Field Theories

Kavli Affiliate: Masahiro Nozaki | First 5 Authors: Kanato Goto, Masahiro Nozaki, Shinsei Ryu, Kotaro Tamaoka, Mao Tian Tan | Summary: We study various quantum quench processes induced by the M"obius/sine-square deformation of the Hamiltonian in two-dimensional conformal field theories starting from the thermofield double state in the two copies of the Hilbert space. These […]


Continue.. Scrambling and Recovery of Quantum Information in Inhomogeneous Quenches in Two-dimensional Conformal Field Theories

Chiral spin liquid in a $mathbb{Z}_3$ Kitaev model

Kavli Affiliate: Cheng Peng | First 5 Authors: Li-Mei Chen, Tyler D. Ellison, Meng Cheng, Peng Ye, Ji-Yao Chen | Summary: We study a $mathbb{Z}_3$ Kitaev model on the honeycomb lattice with nearest neighbor interactions. Based on matrix product state simulations and symmetry considerations, we find evidence that, with ferromagnetic isotropic couplings, the model realizes […]


Continue.. Chiral spin liquid in a $mathbb{Z}_3$ Kitaev model

Chiral spin liquid in a $mathbb{Z}_3$ Kitaev model

Kavli Affiliate: Cheng Peng | First 5 Authors: Li-Mei Chen, Tyler D. Ellison, Meng Cheng, Peng Ye, Ji-Yao Chen | Summary: We study a $mathbb{Z}_3$ Kitaev model on the honeycomb lattice with nearest neighbor interactions. Based on matrix product state simulations and symmetry considerations, we find evidence that, with ferromagnetic isotropic couplings, the model realizes […]


Continue.. Chiral spin liquid in a $mathbb{Z}_3$ Kitaev model

Variational Tensor Wavefunctions for the Interacting Quantum Spin Hall Phase

Kavli Affiliate: Shenghan Jiang | First 5 Authors: Yixin Ma, Shenghan Jiang, Chao Xu, , | Summary: The quantum spin hall (QSH) phase, also known as the two-dimensional topological insulator, hosts helical edge modes protected by time-reversal symmetry. While first proposed as a band insulator, this phase can also be realized in strongly-correlated systems, where […]


Continue.. Variational Tensor Wavefunctions for the Interacting Quantum Spin Hall Phase

Variational Tensor Wavefunctions for the Interacting Quantum Spin Hall Phase

Kavli Affiliate: Shenghan Jiang | First 5 Authors: Yixin Ma, Shenghan Jiang, Chao Xu, , | Summary: The quantum spin hall (QSH) phase, also known as the 2D topological insulator, is characterized by protected helical edge modes arising from time reversal symmetry. While initially proposed for band insulators, this phase can also manifest in strongly-correlated […]


Continue.. Variational Tensor Wavefunctions for the Interacting Quantum Spin Hall Phase