Lieb-robinson bounds
Web21. mar 2024. · But if Lieb-Robinson bounds apply one expects that this spread will be limited. Such considerations are important, for example, when one wants to build quantum computers based on large quantum mechanical systems. In that case, if one performs some operation on a small part of the system, it is important to know how long it will take before ... Web09. sep 2024. · We consider the dynamics of the Bose–Hubbard model on general lattices and prove a Lieb–Robinson bound for observables whose supports are separated by an initially almost particle-free region. We further obtain a maximal velocity bound for particle transport through an initially empty region which also applies to long-range hopping. Our …
Lieb-robinson bounds
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WebIn this brief note, we introduce the general set-up for Lieb-Robinson bounds in the context of quantum systems with bounded interactions. We describe the correspondence between quasi-locality and the usual commutator estimates typically referred to as Lieb-Robinson bounds. The final section is a short list of further generalizations and a ... Web26. feb 2024. · In this paper, we prove a family of Lieb-Robinson bounds for discrete spin systems with long-range interactions. Our results apply for arbitrary k-body interactions, …
Web22. mar 2006. · We give a Lieb-Robinson bound for the group velocity of a large class of discrete quantum systems which can be used to prove that a non-vanishing spectral gap … Web14. mar 2006. · The Lieb-Robinson bound states that local Hamiltonian evolution in nonrelativistic quantum mechanical theories gives rise to the notion of an effective light …
http://www.scholarpedia.org/article/Lieb-Robinson_bounds WebWe give an overview of recent results on Lieb-Robinson bounds and some of their applications in the study of quantum many-body models in condensed matter physics.
WebThese Lieb-Robinson bounds show that: For any 2B a(), the application of the nite-volume dynamics to a local observable, i.e. ˝ t (A), remains essentially local for small times, in the sense that ˝ t (A) almost commutes with any B supported far away from the support of A. Moreover, the estimates proven are uniform in the nite volume .
Web26. feb 2024. · In this paper, we prove a family of Lieb-Robinson bounds for discrete spin systems with long-range interactions. Our results apply for arbitrary k-body interactions, so long as they decay with a power law greater than k d, where d is the dimension of the system. More precisely, we require that the sum of the norm of terms with diameter … four letter words starting with wihttp://mercury.yukawa.kyoto-u.ac.jp/~bussei.kenkyu/pdf/04/4/0072-044204.pdf discotheek new yorkWeb01. jan 2014. · This is an introductory text reviewing Lieb-Robinson bounds for open and closed quantum many-body systems. We introduce the Heisenberg picture for time-dependent local Liouvillians and state a Lieb-Robinson bound that gives rise to a maximum speed of propagation of correlations in many body systems of locally interacting spins … discotheek torhoutWeb18. jun 2024. · The Lieb-Robinson bound shows that the speed of propagating information in a nonrelativistic quantum lattice system is bounded by a finite velocity, which entails … discotheek turnhoutWeb30. avg 2010. · These lecture notes focus on the application of ideas of locality, in particular Lieb-Robinson bounds, to quantum many-body systems. We consider applications … four letter words start with gWeb29. jun 2024. · It is fairly different from the existing approaches in the literature on Lieb–Robinson bounds. In this paper, we bridge the gap between these two … discotheek the zillionWebIn this brief note, we introduce the general set-up for Lieb-Robinson bounds in the context of quantum systems with bounded interactions. We describe the correspondence … discotheek salou