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We discuss the double scaling limit of the SYK model with global symmetries. We develop the chord diagram techniques to compute the moments of the Hamiltonian and the two point function in the presence of arbitrary chemical potential. We…

高能物理 - 理论 · 物理学 2023-05-31 Prithvi Narayan , Swathi T S

We construct a model of Pauli spin operators with all-to-all 4-local interactions by replacing Majorana fermions in the SYK model with spin operators. Equivalently, we replace fermions with hard-core bosons. We study this model numerically…

高能物理 - 理论 · 物理学 2024-05-28 Masanori Hanada , Antal Jevicki , Xianlong Liu , Enrico Rinaldi , Masaki Tezuka

It is shown that the quantum Hamiltonian characterising a non-relativistic electron under the influence of an external spherical symmetric electromagnetic potential exhibits a supersymmetric structure. Both cases, spherical symmetric scalar…

数学物理 · 物理学 2025-05-21 Georg Junker

A two-dimensional Pauli Hamiltonian describing the interaction of a neutral spin-1/2 particle with a magnetic field having axial and second order symmetries, is considered. After separation of variables, the one-dimensional matrix…

高能物理 - 理论 · 物理学 2008-11-26 M. V. Ioffe , S. Kuru , J. Negro , L . M. Nieto

We propose a spin-sensitive scanning probe microscopy experiment on double quantum dots in Pauli blockade conditions. Electric spin resonance is induced by an AC voltage applied to the scanning gate which induces lifting of the Pauli…

介观与纳米尺度物理 · 物理学 2017-08-08 E. Wach , B. Szafran

A double scaling limit can be defined in string theory on a Calabi-Yau (CY) manifold by approaching a point in moduli space where the CY space develops an isolated singularity and at the same time taking the string coupling to zero, while…

高能物理 - 理论 · 物理学 2009-10-31 A. Giveon , D. Kutasov

SYK models provide an interesting playground for exploring the $AdS_2/CFT_1$ correspondence. We focus on a class of SYK models that exhibit higher-spin symmetry, whose gravity sector is described by a BF theory generalizing…

高能物理 - 理论 · 物理学 2025-09-25 Xavier Bekaert , Alexey Sharapov , Evgeny Skvortsov

We prove the existence of the double scaling limit in the unitary matrix model with quartic interaction, and we show that the correlation functions in the double scaling limit are expressed in terms of the integrable kernel determined by…

数学物理 · 物理学 2007-05-23 Pavel Bleher , Alexander Its

We investigate the structure of the dilatation operator D of planar N=4 SYM in the sector of single trace operators built out of two chiral combinations of the 6 scalars. Previous results at low orders in `t Hooft coupling \lambda suggest…

高能物理 - 理论 · 物理学 2009-09-17 A. V. Ryzhov , A. A. Tseytlin

We compute the exact density of states and 2-point function of the $\mathcal{N} =2$ super-symmetric SYK model in the large $N$ double-scaled limit, by using combinatorial tools that relate the moments of the distribution to sums over…

高能物理 - 理论 · 物理学 2020-12-22 Micha Berkooz , Nadav Brukner , Vladimir Narovlansky , Amir Raz

Recent breakthroughs in the transport spectroscopy of 2-D material quantum-dot platforms have engendered a fervent interest in spin-valley qubits. In this context, Pauli blockades in double quantum dot structures form an important basis for…

介观与纳米尺度物理 · 物理学 2023-08-10 Anuranan Das , Adil Khan , Ankan Mukherjee , Bhaskaran Muralidharan

The classic lattice XY model is one of the universal models of statistical mechanics appearing in a broad variety of optical and condensed matter systems. One of its possible realizations is a system of tunnel-coupled spinor polariton…

介观与纳米尺度物理 · 物理学 2024-12-13 A. Kudlis , D. Novokreschenov , I. A. Shelykh

We consider $\mathcal N=2$ conformal QCD in four dimensions and the one-point correlator of a class of chiral primaries with the circular $\frac{1}{2}$-BPS Maldacena-Wilson loop. We analyze a recently introduced double scaling limit where…

高能物理 - 理论 · 物理学 2019-03-27 Matteo Beccaria

We use a random pinning procedure to study amorphous order in two glassy spin models. On increasing the concentration of pinned spins at constant temperature, we find a sharp crossover (but no thermodynamic phase transition) from bulk…

统计力学 · 物理学 2015-03-19 Robert L. Jack , Ludovic Berthier

I want to call attention to a simple previously noted fact about the double-scaled version of the SYK model which suggests that it may be holographically dual to de Sitter space.

高能物理 - 理论 · 物理学 2022-05-03 Leonard Susskind

We discuss the diagonalization of a general Hamiltonian operator for a set of coupled harmonic oscillators and determine the conditions for the existence of bound states. We consider the particular cases of two and three oscillators studied…

量子物理 · 物理学 2020-03-31 Francisco M. Fernández

We discuss a T-duality transformation for the c=1/2 matrix model for the purpose of studying duality transformations in a possible toy example of nonperturbative frameworks of string theory. Our approach is to first investigate the scaling…

高能物理 - 理论 · 物理学 2008-11-26 Takashi Asatani , Tsunehide Kuroki , Yuji Okawa , Fumihiko Sugino , Tamiaki Yoneya

Chains of first-order SUSY transformations for the spin equation are studied in detail. It is shown that the transformation chains are related with a olynomial pseudo-supersymmetry of the system. Simple determinant formulas for the final…

量子物理 · 物理学 2009-11-13 V. V. Shamshutdinova , Boris F. Samsonov , D. M. Gitman

The metric of a spacetime with a parallel plane (pp)-wave can be obtained in a certain limit of the space AdS^5xS^5. According to the AdS/CFT correspondence, the holographic dual of superstring theory on that background should be the…

高能物理 - 理论 · 物理学 2010-04-05 C. Kristjansen , J. Plefka , G. W. Semenoff , M. Staudacher

In this work, we study hole transport in a planar silicon metal-oxide-semiconductor based double quantum dot. We demonstrate Pauli spin blockade in the few hole regime and map the spin relaxation induced leakage current as a function of…

介观与纳米尺度物理 · 物理学 2023-07-19 R. Li , F. E. Hudson , A. S. Dzurak , A. R. Hamilton
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