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We demonstrate how table-top settings combining hyperbolic lattices with nonlinear dynamics universally encode aspects of the bulk-boundary-correspondence between gravity in anti-de-Sitter (AdS) space and conformal field theory (CFT). Our…

In this work we study the Tomita-Takesaki construction for a family of excited states that, in a strongly coupled CFT - at large $N$-, correspond to coherent states in an asymptotically AdS spacetime geometry. We compute the modular flow…

高能物理 - 理论 · 物理学 2020-08-05 Raúl Arias , Marcelo Botta-Cantcheff , Pedro J. Martinez , Juan F. Zarate

The AdS/CFT correspondence conjectures a duality between quantum gravity theories in anti-de Sitter (AdS) spacetime and conformal field theories (CFTs) on the boundary. One intriguing aspect of this correspondence is that it offers a…

量子物理 · 物理学 2025-01-07 Zuo Wang , Liang He

We propose and theoretically investigate an alternative way to create the poor man's Majorana bound states (MBSs) introduced in Phys. Rev. B 86, 134528 (2012). Our proposal is based on two quantum dots (QDs) with strong electron-electron…

介观与纳米尺度物理 · 物理学 2022-11-29 Athanasios Tsintzis , Rubén Seoane Souto , Martin Leijnse

A quasi-1D superconductor with odd number of Fermi surfaces is expected to exhibit a nondegenerate Majorana bound state at the Fermi level at its boundary with an insulator (where the latter could be an actual insulator material or vacuum,…

The disorder operator is often designed to reveal the conformal field theory information in quantum many-body systems. By using large-scale quantum Monte Carlo simulation, we study the scaling behavior of disorder operators on the boundary…

强关联电子 · 物理学 2024-06-18 Zenan Liu , Rui-Zhen Huang , Yan-Cheng Wang , Zheng Yan , Dao-Xin Yao

This paper characterizes Goppa codes of certain maximal curves over finite fields defined by equations of the form $y^n = x^m + x$. We investigate Algebraic Geometric and quantum stabilizer codes associated with these maximal curves and…

代数几何 · 数学 2025-02-07 Vahid Nourozi

A higher-order topological superconductor can experience topological phase transitions driven by variations in a bulk parameter without closing the bulk gap. This presents a challenge in establishing a direct bulk-boundary correspondence,…

介观与纳米尺度物理 · 物理学 2024-08-09 Xiaoyu Zhu

The abundance of bulk and boundary topologies in higher-order topological phases offer remarkable tunability and diversity to boundary states but also pose a challenge to their unified topological characterization. In this work, we propose…

超导电性 · 物理学 2025-05-26 Xun-Jiang Luo , Jia-Zheng Li , Meng Xiao , Fengcheng Wu

The Majorana code is an example of a stabilizer code where the quantum information is stored in a system supporting well-separated Majorana Bound States (MBSs). We focus on one-dimensional realizations of the Majorana code, as well as…

介观与纳米尺度物理 · 物理学 2015-10-09 Fabio L. Pedrocchi , N. E. Bonesteel , David P. DiVincenzo

We investigate a family of fault-tolerant quantum error correction schemes based on the concatenation of small error detection or error correction codes with the three-dimensional cluster state. We propose fault-tolerant state preparation…

量子物理 · 物理学 2023-08-23 Zhaoyi Li , Isaac Kim , Patrick Hayden

We theoretically investigate the possibility to use thermolectric measurements to detect Majorana bound states and to investigate their coupling to a dissipative environment. The particle-hole symmetry of Majorana states would normally lead…

介观与纳米尺度物理 · 物理学 2014-02-04 Martin Leijnse

We propose a gravitational response theory for point defects (hedgehogs) binding Majorana zero modes in (3+1)-dimensional superconductors. Starting in 4+1 dimensions, where the point defect is extended into a line, a coupling of the bulk…

其他凝聚态物理 · 物理学 2015-06-03 Pedro L. S. Lopes , Jeffrey C. Y. Teo , Shinsei Ryu

We propose an alternative route to transport experiments for detecting Majorana bound states (MBSs) by combining topological superconductivity with quantum optics in a superconducting $pn$ junction containing a quantum dot (QD). We consider…

介观与纳米尺度物理 · 物理学 2022-12-02 L. Bittermann , C. De Beule , D. Frombach , P. Recher

Dynamic AdS/QCD is a holographic model of strongly coupled gauge theories with the dynamics included through the running anomalous dimension of the quark bilinear, gamma. We apply it to describe the physics of massive quarks in the…

高能物理 - 唯象学 · 物理学 2014-10-17 Nick Evans , Marc Scott

This paper aims at an accurate and efficient computation of effective quantities, e.g., the homogenized coefficients for approximating the solutions to partial differential equations with oscillatory coefficients. Typical multiscale methods…

数值分析 · 数学 2021-03-08 Assyr Abdulle , Doghonay Arjmand , Edoardo Paganoni

In space-adiabatic approaches one can approximate Hamiltonians that are modulated slowly in space by phase-space functions that depend on position and momentum. In this paper, we establish a rigorous relation between this approach and the…

数学物理 · 物理学 2024-11-01 Danilo Polo Ojito , Emil Prodan , Tom Stoiber

We show that complementary state-specific reconstruction of logical (bulk) operators is equivalent to the existence of a quantum minimal surface prescription for physical (boundary) entropies. This significantly generalizes both sides of an…

高能物理 - 理论 · 物理学 2022-05-18 Chris Akers , Geoff Penington

In this paper we present a hybrid scheme for topological quantum computation in a system of cold atoms trapped in an atomic lattice. A topological qubit subspace is defined using Majorana fermions which emerge in a network of atomic Kitaev…

量子物理 · 物理学 2014-02-19 C. Laflamme , M. A. Baranov , P. Zoller , C. V. Kraus

Stabilizer states hold a special place in quantum information science due to their connection with quantum error correction and quantum circuit simulation. In the context of classical simulations of many-body physics, they are an example of…

量子物理 · 物理学 2026-02-20 Tomislav Begušić , Garnet Kin-Lic Chan