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In classical and single-particle settings, non-trivial band topology always gives rise to robust boundary modes. For quantum many-body systems, however, multiple topological fermions are not always able to coexist, since Pauli exclusion…

Strongly Correlated Electrons · Physics 2022-02-25 Jin Ming Koh , Tommy Tai , Yong Han Phee , Wei En Ng , Ching Hua Lee

We study the asymptotic scaling of the entanglement of a block of spins for the ground state of the one-dimensional quantum Ising model with transverse field. When the field is sufficiently strong, the entanglement grows at most…

Quantum Physics · Physics 2009-11-13 Geoffrey Grimmett , Tobias Osborne , Petra Scudo

Recently, much attention has been paid to search for Majorana fermions in solid-state systems. Among various proposals there is one based on radio-frequency superconducting quantum interference devices (rf-SQUIDs), in which the appearance…

The fluorescence light emitted by a 4-level system in $J=1/2$ to $J=1/2$ configuration driven by a monochromatic laser field and in an external magnetic field is studied. We show that the spectrum of resonance fluorescence emitted on the…

Quantum Physics · Physics 2009-11-13 Martin Kiffner , Joerg Evers , Christoph H. Keitel

For the one-dimensional Ising chain with spin-$1/2$ and exchange couple $J$ in a steady transverse field(TF), an analytical theory has well been developed in terms of some topological order parameters such as Berry phase(BP). For a TF Ising…

Statistical Mechanics · Physics 2019-10-17 Yi Liao , Ping-Xing Chen

The stability and dynamics of almost strong zero and $\pi$ modes in weakly non-integrable Floquet spin chains are investigated. Such modes can also be viewed as localized Majorana modes at the edge of a topological superconductor.…

Strongly Correlated Electrons · Physics 2023-08-10 Hsiu-Chung Yeh , Achim Rosch , Aditi Mitra

We investigate strongly correlated many-body systems composed of bosons and fermions with a fully quantum treatment using the path-integral ground state method, PIGS. To account for the Fermi-Dirac statistics, we implement the fixed-node…

Quantum Gases · Physics 2023-05-10 Sebastian Ujevick , V. Zampronio , B. R. de Abreu , S. A. Vitiello

We present a framework that uses a continuous frequency space to describe and design solid-state NMR experiments. The approach is similar to the well established Floquet treatment for NMR, but is not restricted to periodic Hamiltonians and…

Chemical Physics · Physics 2022-11-23 Matías Chávez , Matthias Ernst

In this paper, a new rigorous numerical method to compute fundamental matrix solutions of non-autonomous linear differential equations with periodic coefficients is introduced. Decomposing the fundamental matrix solutions $\Phi(t)$ by their…

Dynamical Systems · Mathematics 2011-12-22 Roberto Castelli , Jean-Philippe Lessard

Time-periodic driving in the form of coherent radiation provides powerful tool for the manipulation of topological materials or synthetic quantum matter. In this paper we propose a scheme to realize non-Hermitian semimetals exhibiting…

Mesoscale and Nanoscale Physics · Physics 2020-12-07 Peng He , Ze-Hao Huang

The strong coupling between two subsystems consisting of quantum emitters and photonic modes, at which the level splitting of mixed quantum states occurs, has been a central subject of quantum physics and nanophotonics due to various…

Optics · Physics 2021-06-30 Renming Liu , Yi-Cong Yu , Xue-Hua Wang

We study the vortex zero-energy bound states in presence of pairing among the low-energy Dirac fermions on the surface of a topological insulator. The pairing symmetries considered include the $s$-wave, $p$-wave, and, in particular, the…

Superconductivity · Physics 2010-10-11 Chi-Ken Lu , Igor F. Herbut

Motivated by experimental results on compounds like ${\rm LiHo}_x{\rm Y}_{1-x}{\rm F}_4$, we consider an Ising chain with random bonds in the simultaneous presence of random transverse and longitudinal fields. We study the low-energy…

Disordered Systems and Neural Networks · Physics 2026-04-14 Tamás Petö , Ferenc Iglói , István A. Kovács

Topological phases of matter have remained an active area of research in the last few decades. Periodic driving is known to be a powerful tool for enriching such exotic phases, which leads to various phenomena with no static analogs. One…

Mesoscale and Nanoscale Physics · Physics 2022-12-28 Zheyu Cheng , Raditya Weda Bomantara , Haoran Xue , Weiwei Zhu , Jiangbin Gong , Baile Zhang

Results are presented for a Floquet Ising chain with duality twisted boundary conditions, taking into account the role of weak integrability breaking in the form of four-fermion interactions. In the integrable case, a single isolated…

Strongly Correlated Electrons · Physics 2023-07-26 Aditi Mitra , Hsiu-Chung Yeh , Fei Yan , Achim Rosch

We analyze various possible superconducting pairing states and their relative stabilities in lightly doped graphene. We show that, when inter-sublattice electron-electron attractive interaction dominates and Fermi level is close to Dirac…

Superconductivity · Physics 2013-01-03 Jianhui Zhou , Tao Qin , Junren Shi

The spin resonance observed in the inelastic neutron scattering data on Fe-based superconductors has played a prominent role in the quest for determining the symmetry of the order parameter in these compounds. Most theoretical studies of…

Superconductivity · Physics 2015-06-22 Alberto Hinojosa , Andrey V. Chubukov , Peter Wolfle

Randomly coupled Ising spins constitute the classical model of collective phenomena in disordered systems, with applications covering ferromagnetism, combinatorial optimization, protein folding, stock market dynamics, and social dynamics.…

Disordered Systems and Neural Networks · Physics 2016-08-24 David Dahmen , Hannah Bos , Moritz Helias

We study an Ising model with long-range interactions undergoing a time-periodic kicking. For different initial states we observe persistent period doubling. When there is period doubling we find that the initial state has relevant overlap…

Statistical Mechanics · Physics 2026-04-23 Ángel L. Corps , Armando Relaño , Angelo Russomanno

The ground state properties of the S=1/2 transverse-field Ising model on the checkerboard lattice are studied using linear spin wave theory. We consider the general case of different couplings between nearest neighbors (J1) and…

Strongly Correlated Electrons · Physics 2015-06-04 Louis-Paul Henry , Peter C. W. Holdsworth , Frédéric Mila , Tommaso Roscilde