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We construct an effective Hamiltonian of interacting bosons, based on scattered radiation off vibrational modes of designed molecular architectures. Making use of the infinite yet countable set of spatial modes representing the scattering…

量子物理 · 物理学 2019-12-30 Shahaf Asban , Shaul Mukamel

We derive rigorous truncation-error bounds for the spin-boson model and its generalizations to arbitrary quantum systems interacting with bosonic baths. For the numerical simulation of such baths the truncation of both, the number of modes…

量子物理 · 物理学 2015-09-30 Mischa P. Woods , M. Cramer , M. B. Plenio

We study the out-of-equilibrium dynamics of quantum systems with long-range interactions. Two different models describing, respectively, interacting lattice bosons and spins are considered. Our study relies on a combined approach based on…

量子气体 · 物理学 2015-10-26 Lorenzo Cevolani , Giuseppe Carleo , Laurent Sanchez-Palencia

We present a theoretical study of condensation of bosons in tight binding bands corresponding to simple cubic, body centered cubic, and face centered cubic lattices. We have analyzed non-interacting bosons, weakly interacting bosons using…

其他凝聚态物理 · 物理学 2009-11-11 R. Ramakumar , A. N. Das

Quantum many-body interactions can induce quantum entanglement among particles, rendering them valuable resources for quantum-enhanced sensing. In this work, we derive a universal and fundamental bound for the growth of the quantum Fisher…

量子物理 · 物理学 2024-03-07 Hai-Long Shi , Xi-Wen Guan , Jing Yang

In non-relativistic quantum theories with short-range Hamiltonians, a velocity $v$ can be chosen such that the influence of any local perturbation is approximately confined to within a distance $r$ until a time $t \sim r/v$, thereby…

量子物理 · 物理学 2015-04-22 Michael Foss-Feig , Zhe-Xuan Gong , Charles W. Clark , Alexey V. Gorshkov

Lieb-Robinson bounds demonstrate the emergence of locality in many-body quantum systems. Intuitively, Lieb-Robinson bounds state that with local or exponentially decaying interactions, the correlation that can be built up between two sites…

量子物理 · 物理学 2026-01-27 Ben T. McDonough , Chao Yin , Andrew Lucas , Carolyn Zhang

The resources required to solve the general interacting quantum N-body problem scale exponentially with N, making the solution of this problem very difficult when N is large. In a previous series of papers we develop an approach for a…

其他凝聚态物理 · 物理学 2009-03-06 Martin Dunn , W. Blake Laing , Derrick Toth , Deborah K. Watson

Lieb-Robinson bounds show that the speed of propagation of information under the Heisenberg dynamics in a wide class of non-relativistic quantum lattice systems is essentially bounded. We review work of the past dozen years that has turned…

数学物理 · 物理学 2019-06-25 Bruno Nachtergaele , Robert Sims , Amanda Young

We study the energetic properties of finite but internally homogeneous D-dimensional electron droplets in the strict-correlation limit. The indirect Coulomb interaction is found to increase as a function of the electron number, approaching…

强关联电子 · 物理学 2011-05-11 E. Rasanen , M. Seidl , P. Gori-Giorgi

A correlated many-body calculation is presented to characterize the Shannon information entropy of trapped interacting bosons. We reformulate the one-body Shannon information entropy in terms of the one-body probability density. The minimum…

量子气体 · 物理学 2013-09-16 Sudip Kumar Haldar , Barnali Chakrabarti , Tapan Kumar Das , Anindya Biswas

We study space-time behaviour of solutions of the von Neumann-Lindblad equations underlying the dynamics of Markov quantum open systems. For a large class of these equations, we prove the existence of an effective light cone with an…

数学物理 · 物理学 2025-09-04 Israel Michael Sigal , Xiaoxu Wu

We investigate few-boson systems with resonant interactions in a narrow harmonic trap within an effective theory framework. The size of the model space is identified with the effective theory cutoff. In the universal regime, the…

量子气体 · 物理学 2013-06-05 S. Tölle , H. -W. Hammer , B. Ch. Metsch

In this paper, we present evidence for a liquid-like phase in systems of many interacting Bosons at intermediate densities. The interacting Bose gas has been studied extensively in the low and high density regimes, in which interactions do…

量子气体 · 物理学 2023-02-28 Ian Jauslin

Surpassing the standard quantum limit and even reaching the Heisenberg limit using quantum entanglement, represents the Holy Grail of quantum metrology. However, quantum entanglement is a valuable resource that does not come without a…

量子物理 · 物理学 2023-04-28 Yaoming Chu , Xiangbei Li , Jianming Cai

We study the spreading of density-density correlations in Bose-Hubbard models after a quench of the interaction strength, using time-dependent variational Monte Carlo simulations. It gives access to unprecedented long propagation times and…

We provide a simple proof of the Lieb-Robinson bound and use it to prove the existence of the dynamics for interactions with polynomial decay. We then use our results to demonstrate that there is an upper bound on the rate at which…

数学物理 · 物理学 2007-05-23 Bruno Nachtergaele , Yoshiko Ogata , Robert Sims

We employ the Born-Oppenheimer approximation to find the effective potential in a three-body system consisting of a light particle and two heavy ones when the heavy-light short-range interaction potential has a resonance corresponding to a…

原子物理 · 物理学 2013-09-25 Maxim A. Efremov , Lev Plimak , Misha Yu. Ivanov , Wolfgang P. Schleich

Interacting quantum many-body systems are usually expected to thermalise, in the sense that the evolution of local expectation values approach a stationary value resembling a thermal ensemble. This intuition is notably contradicted in…

量子物理 · 物理学 2015-12-09 M. Friesdorf , A. H. Werner , M. Goihl , J. Eisert , W. Brown

We review various bounds concerning out-of-equilibrium dynamics in few-level and many-body quantum systems. We primarily focus on closed quantum systems but will also mention some related results for open quantum systems and classical…

量子物理 · 物理学 2022-11-22 Zongping Gong , Ryusuke Hamazaki