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Twisted bilayers of two-dimensional materials have emerged as a highly tunable platform for studying broken symmetry phases. While most interest has been focused on emergent states in systems whose constituent monolayers do not feature…

We report on a study of a bilayer two-dimensional electron gas at Landau level filling factor $\nu=2$. The system exhibits both magnetic and spontaneous interlayer phase coherence broken symmetries. We propose a 3-parameter Slater…

介观与纳米尺度物理 · 物理学 2009-10-31 A. H. MacDonald , R. Rajaraman , T. Jungwirth

Mixed states can exhibit two distinct kinds of symmetries, either on the level of the individual states (strong symmetry), or only on the level of the ensemble (weak symmetry). Strong symmetries can be spontaneously broken down to weak…

统计力学 · 物理学 2025-09-12 Niklas Ziereis , Sanjay Moudgalya , Michael Knap

Spontaneous symmetry breaking (SSB) is the cornerstone of our understanding of quantum phases of matter. Recent works have generalized this concept to the domain of mixed states in open quantum systems, where symmetries can be realized in…

量子物理 · 物理学 2025-12-30 Xiaozhou Feng , Zihan Cheng , Matteo Ippoliti

Symmetry in mixed quantum states can manifest in two distinct forms: strong symmetry, where each individual pure state in the quantum ensemble is symmetric with the same charge, and weak symmetry, which applies only to the entire ensemble.…

量子物理 · 物理学 2025-03-11 Leonardo A. Lessa , Ruochen Ma , Jian-Hao Zhang , Zhen Bi , Meng Cheng , Chong Wang

In mixed quantum states, the notion of symmetry is divided into two types: strong and weak symmetry. While spontaneous symmetry breaking (SSB) for a weak symmetry is detected by two-point correlation functions, SSB for a strong symmetry is…

强关联电子 · 物理学 2026-03-06 Takamasa Ando , Shinsei Ryu , Masataka Watanabe

Strong-to-weak spontaneous symmetry breaking (SWSSB) has recently emerged as a universal feature of quantum mixed-state phases of matter. While various information-theoretic diagnostics have been proposed to define and characterize SWSSB…

量子物理 · 物理学 2025-05-15 Zack Weinstein

We simulate a phase-separating a bilayer in which the leaflets experience a direct coupling favouring local compositional symmetry ("registered" bilayer phases), and an indirect coupling due to hydrophobic mismatch that favours strong local…

软凝聚态物质 · 物理学 2016-04-12 John J. Williamson , Peter D. Olmsted

The combination of linear and nonlinear potentials, both shaped as a single well, enables competition between the confinement and expulsion induced by the former and latter potentials, respectively. We demonstrate that this setting leads to…

斑图形成与孤子 · 物理学 2018-10-18 Dmitry A. Zezyulin , Mikhail E. Lebedev , Georgy L. Alfimov , Boris A. Malomed

We computer model a free-standing vitreous silica bilayer which has recently been synthesized and characterized experimentally in landmark work. Here we model the bilayer using a computer assembly procedure that starts from a single layer…

无序系统与神经网络 · 物理学 2013-11-01 Mark Wilson , Avishek Kumar , David Sherrington , M. F. Thorpe

The large lattice constant of Moire superlattice formed in twisted bilayer graphene for small twist enables observing the Landau levels splitting into Hofstadter butterflies in energy spectra for moderate magnetic field. This is expected…

介观与纳米尺度物理 · 物理学 2021-04-22 Tomasz Chwiej

We explore the landscape of the decoherence effect in mixed-state ensembles from a purification perspective. We analyze the spontaneous strong-to-weak symmetry breaking (SSSB) in mixed states triggered by local quantum channels by mapping…

量子物理 · 物理学 2024-05-07 Pablo Sala , Sarang Gopalakrishnan , Masaki Oshikawa , Yizhi You

Two-dimensional multi-layer materials with an induced moir\'e pattern, either due to strain or relative twist between layers, provide a versatile platform for exploring strongly correlated and topological electronic phenomena. While these…

强关联电子 · 物理学 2025-05-27 Mohammed M. Al Ezzi , Albert Zhu , Daniel Bennett , Daniel T. Larson , Efthimios Kaxiras

The recent realization of twisted, two-dimensional, bilayers exhibiting strongly correlated states has created a platform in which the relation between the properties of the electronic bands and the nature of the correlated states can be…

超导电性 · 物理学 2022-10-12 Enrico Rossi

We develop a general framework for studying phases of mixed states with strong and weak symmetries, including non-invertible or categorical symmetries. The central idea is to consider a purification of the mixed state density matrix, which…

量子物理 · 物理学 2025-07-09 Sakura Schafer-Nameki , Apoorv Tiwari , Alison Warman , Carolyn Zhang

Mixed-state phases have recently attracted significant attention as a generalization beyond their pure-state counterparts. Prominent examples include mixed-state symmetry-protected topological (mSPT) phases and the strong-to-weak symmetry…

强关联电子 · 物理学 2026-03-05 Aswin Parayil Mana , Zijian Song , Fei Yan , Tzu-Chieh Wei

Sliding bilayers are systems that exploit the possibility of relatively translating two monolayers along a specific direction in real space, such that different stackings could be implemented in the process. This simple approach allows for…

介观与纳米尺度物理 · 物理学 2024-05-06 Sergio Bravo , P. A. Orellana , L. Rosales

Topological orders can be understood as spontaneous symmetry breaking of higher-form symmetries. In the non-Abelian case, the broken higher-form symmetries are notably non-invertible. In this work, we extend this framework to mixed states,…

量子物理 · 物理学 2026-04-17 Zijian Song , Jian-Hao Zhang

We employ ab-initio electronic structure calculations to investigate the charge-density waves and periodic lattice distortions in bilayer 2H-NbSe$_2$. We demonstrate that the vertical stacking can give rise to a variety of patterns that may…

Twisted bilayer graphene offers a unique bilayer two-dimensional-electron system where the layer separation is only in sub-nanometer scale. Unlike Bernal-stacked bilayer, the layer degree of freedom is disentangled from spin and valley,…

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