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We examine the dynamics of subsystems of bipartite and tripartite quantum systems with nonlinear Hamiltonians. We consider two models which capture the generic features of open quantum systems: a three-level atom interacting with a…

Quantum Physics · Physics 2015-06-22 Athreya Shankar , S. Lakshmibala , V. Balakrishnan

The existence and uniqueness of a steady state for nonequilibrium systems (NESS) is a fundamental subject and a main theme of research in statistical mechanics for decades. For Gaussian systems, such as a chain of harmonic oscillators…

Statistical Mechanics · Physics 2015-10-13 J. -T. Hsiang , B. L. Hu

Engineering new quantum phases requires fine tuning of the electronic, orbital, spin, and lattice degrees of freedom. To this end, the kagome lattice with flat bands has garnered great attention by hosting various topological and correlated…

We present a model to find analytically the electronic states in self-assembled quantum dots with a truncated spherical cap (`lens') geometry. A conformal analytical image is designed to map the quantum dot boundary into a dot with…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Arezky H. Rodriguez , C. Trallero-Giner , S. E. Ulloa , J. Marin-Antuna

We study first order quantum phase transitions in mean-field spin glasses. We solve the quantum Random Energy Model using elementary methods and show that at the transition the eigenstate suddenly projects onto the unperturbed ground state…

Quantum Physics · Physics 2008-10-02 Thomas Jorg , Florent Krzakala , Jorge Kurchan , A. C. Maggs

Quantum systems subjected to a continuous weak measurement process evolve according to stochastic differential equations (SDE). Depending on the outcomes of these stochastic measurements, the quantum state may diffuse in various directions…

Quantum Physics · Physics 2025-08-19 Alain Sarlette , Cyril Elouard , Pierre Rouchon

We describe simulations of the quantum dynamics of a confocal cavity QED system that realizes an intrinsically driven-dissipative spin glass. A close connection between open quantum dynamics and replica symmetry breaking is established, in…

NMR is emerging as a valuable testbed for the investigation of foundational questions in quantum mechanics. The present paper outlines the preparation of a class of mixed states, called pseudo-pure states, that emulate pure quantum states…

Methods for understanding classical disordered spin systems with interactions conforming to some idealized graphical structure are well developed. The equilibrium properties of the Sherrington-Kirkpatrick model, which has a densely…

Disordered Systems and Neural Networks · Physics 2013-05-29 Jack Raymond , David Saad

The energy levels and optical transitions of tetrahedral core/shell InP/ZnSe quantum dots (QDs) are investigated by means of multi-band k$\cdot$p theory. Despite the $\overline{T}_d$ symmetry relaxing spherical selection rules, the…

Mesoscale and Nanoscale Physics · Physics 2026-04-06 Josep Planelles , Juan I. Climente

We study the non-equilibrium dynamics of the dissipative quantum East model via numerical tensor networks. We use matrix product states to represent evolution under quantum-jump unravellings for sizes beyond those accessible to exact…

Statistical Mechanics · Physics 2024-07-19 Luke Causer , Mari Carmen Bañuls , Juan P. Garrahan

We study analytically and numerically the statics and the off-equilibrium dynamics of spin models over finitely connected random graphs. We identify a threshold value for the connectivity beyond which the loop structure of the graph becomes…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Barrat , R. Zecchina

We study the infinite-temperature properties of an infinite sequence of random quantum spin chains using a real-space renormalization group approach, and demonstrate that they exhibit non-ergodic behavior at strong disorder. The analysis is…

Disordered Systems and Neural Networks · Physics 2015-05-28 Romain Vasseur , Andrew C. Potter , S. A. Parameswaran

We discuss and review recent advances in our understaning of quantum Hall systems where additional quantum numbers associated with spin and/or layer (pseudospin) indices play crucial roles in creating exotic quantum phases. Among the novel…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sankar Das Sarma , Eugene Demler

As approaching the glass transition, particle motion in liquids becomes highly heterogeneous and regions with virtually no mobility coexist with liquid-like domains. This complex dynamics is believed to be responsible for different…

Soft Condensed Matter · Physics 2018-03-28 F. Puosi , N. Jakse , A. Pasturel

We consider the bipartite entanglement entropy of ground states of extended quantum systems with a large degeneracy. Often, as when there is a spontaneously broken global Lie group symmetry, basis elements of the lowest-energy space form a…

Statistical Mechanics · Physics 2013-05-30 Olalla A. Castro-Alvaredo , Benjamin Doyon

In magnetic materials, spins sometimes freeze into spatially disordered glassy states. Glass forming liquids or structural glasses are found very often in three dimensions. However, in two dimensions(2D) it is believed that both spin glass…

Disordered Systems and Neural Networks · Physics 2022-07-18 Chisa Hotta , Kazumasa Ueda , Masatoshi Imada

Recent progresses in condensed matter physics, such as graphene, topological insulator and Weyl semimetal, often origin from the specific topological symmetries of their lattice structures. Quantum states with different degrees of freedom,…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 Ke Huang , Pengjie Wang , L. N. Pfeiffer , K. W. West , K. W. Baldwin , Yang Liu , Xi Lin

We investigate the 3-dimensional Edwards-Anderson spin glass model at low temperature on simple cubic lattices of sizes up to L=12. Our findings show a strong continuity among T>0 physical features and those found previously at T=0, leading…

Disordered Systems and Neural Networks · Physics 2009-11-07 E. Marinari , O. C. Martin , F. Zuliani

A quantum dynamical model of two interacting spins, with chaotic and regular components, is investigated using a finite two-particles symmetrized basis. Chaotic eigenstates give rise to an equilibrium occupation number distribution in close…

chao-dyn · Physics 2019-08-17 F. Borgonovi , I. Guarneri , F. M. Izrailev , G. Casati