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Through a combination of rigorous analytical derivations and extensive numerical simulations, this work reports an exotic multifractal behavior, dubbed "logarithmic multifractality", in effectively infinite-dimensional systems undergoing…

无序系统与神经网络 · 物理学 2025-03-04 Weitao Chen , Olivier Giraud , Jiangbin Gong , Gabriel Lemarié

Entanglement is known to be a relative notion, defined with respect to the choice of physical observables to be measured (i.e., the measurement setup used). This implies that, in general, the same state can be both separable and entangled…

量子物理 · 物理学 2013-05-21 Toshihiko Sasaki , Tsubasa Ichikawa , Izumi Tsutsui

We develop a density functional treatment of non-interacting abelian anyons, which is capable, in principle, of dealing with a system of a large number of anyons in an external potential. Comparison with exact results for few particles…

强关联电子 · 物理学 2021-01-27 Yayun Hu , G. Murthy , S. Rao , J. K. Jain

We study multipartite entanglement in a system consisting of indistinguishable fermions. Specifically, we have proposed a geometric entanglement measure for N spin-1/2 fermions distributed over 2L modes (single particle states). The measure…

量子物理 · 物理学 2015-05-19 Behzad Lari , P. Durganandini , Pramod S. Joag

We introduce a diagnostic for quantum thermalization based on mixed-state entanglement. Specifically, given a pure state on a tripartite system $ABC$, we study the scaling of entanglement negativity between $A$ and $B$. For representative…

统计力学 · 物理学 2020-12-11 Tsung-Cheng Lu , Tarun Grover

The competition between unitary quantum dynamics and dissipative stochastic effects, as emerging from continuous-monitoring processes, can culminate in measurement-induced phase transitions. Here, a many-body system abruptly passes, when…

统计力学 · 物理学 2025-02-04 Moritz Eissler , Igor Lesanovsky , Federico Carollo

Entanglement entropy under a particle bipartition provides complementary information to mode entanglement as it is sensitive to interactions and particle statistics at leading order and does not depend on any externally imposed length…

A central challenge in analog quantum simulation is to characterize desirable physical properties of quantum states produced in experiments. However, in conventional approaches, the extraction of arbitrary information requires performing…

量子物理 · 物理学 2023-04-04 Minh C. Tran , Daniel K. Mark , Wen Wei Ho , Soonwon Choi

Decoherence is a major obstacle to the preparation of topological order in noisy intermediate-scale quantum devices. Here, we show that decoherence can also give rise to new types of topological order. Specifically, we construct concrete…

量子物理 · 物理学 2025-01-23 Zijian Wang , Zhengzhi Wu , Zhong Wang

We propose a setup to directly measure the anyonic statistical angle on a single edge of a fractional quantum Hall system, without requiring independent knowledge of non-universal parameters. We consider a Laughlin edge state bent into a…

The quantum statistics of bosons or fermions are manifest through even or odd relative angular momentum of a pair. We show theoretically that, under certain conditions, a pair of certain test particles immersed in a fractional quantum Hall…

量子气体 · 物理学 2014-10-22 Yuhe Zhang , G. J. Sreejith , N. D. Gemelke , J. K. Jain

Among all entanglement measures negativity arguably is the best known and most popular tool to quantify bipartite quantum correlations. It is easily computed for arbitrary states of a composite system and can therefore be applied to discuss…

量子物理 · 物理学 2014-09-19 Christopher Eltschka , Jens Siewert

We study the one-particle von Neumann entropy of a system of N hard-core anyons on a ring. The entropy is found to have a clear dependence on the anyonic parameter which characterizes the generalized fractional statistics described by the…

强关联电子 · 物理学 2009-11-11 Raoul Santachiara , Franck Stauffer , Daniel Cabra

Estimating global properties of many-body quantum systems such as entropy or bipartite entanglement is a notoriously difficult task, typically requiring a number of measurements or classical post-processing resources growing exponentially…

Any realist interpretation of quantum theory must grapple with the measurement problem and the status of state-vector collapse. In a no-collapse approach, measurement is typically modeled as a dynamical process involving decoherence. We…

量子物理 · 物理学 2020-09-22 Jacob A. Barandes , David Kagan

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

强关联电子 · 物理学 2008-11-26 Eduardo Fradkin , Joel E. Moore

We establish a generalisation of the fundamental state convertibility theorem in quantum information to the context of bipartite quantum systems modelled by commuting semi-finite von Neumann algebras. Namely, we establish a generalisation…

算子代数 · 数学 2020-09-15 Jason Crann , David W. Kribs , Rupert H. Levene , Ivan G. Todorov

We study the non-equilibrium dynamics of Abelian anyons in a one-dimensional system. We find that the interplay of anyonic statistics and interactions gives rise to spatially asymmetric particle transport together with a novel dynamical…

量子气体 · 物理学 2018-12-24 Fangli Liu , James R. Garrison , Dong-Ling Deng , Zhe-Xuan Gong , Alexey V. Gorshkov

We propose partial measurements as a conceptual tool to understand how to operate with counterfactual claims in quantum physics. Indeed, unlike standard von Neumann measurements, partial measurements can be reversed probabilistically. We…

量子物理 · 物理学 2011-05-30 G. S. Paraoanu

We present a generalization of quantum Stein's Lemma to the situation in which the alternative hypothesis is formed by a family of states, which can moreover be non-i.i.d.. We consider sets of states which satisfy a few natural properties,…

量子物理 · 物理学 2010-03-10 Fernando G. S. L. Brandao , Martin B. Plenio