Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Maciążek, Tomasz"'
Autor:
Liebert, Julia, Castillo, Federico, Labbé, Jean-Philippe, Maciazek, Tomasz, Schilling, Christian
The Pauli exclusion principle is fundamental to understanding electronic quantum systems. It namely constrains the expected occupancies $n_i$ of orbitals $\varphi_i$ according to $0 \leq n_i \leq 2$. In this work, we first refine the underlying one-b
Externí odkaz:
http://arxiv.org/abs/2412.01805
Autor:
Maciazek, Tomasz, Conlon, Aaron
Determination of optimal control protocols for Majorana zero modes during their exchange is a crucial step towards the realisation of the topological quantum computer. In this paper, we study the finite-time exchange process of Majorana zero modes on
Externí odkaz:
http://arxiv.org/abs/2310.13634
Publikováno v:
Jerzy Cioslowski, Oliver M. Brown, and Tomasz Maciazek, Phys. Rev. A 109, 023316 (2024)
We investigate the properties of natural orbitals and their occupation numbers of the ground state of two non-interacting anyons characterised by the fractional statistics parameter $\alpha$ and confined in a harmonic trap. We work in the boson magne
Externí odkaz:
http://arxiv.org/abs/2309.14023
The braiding of the worldlines of particles restricted to move on a network (graph) is governed by the graph braid group, which can be strikingly different from the standard braid group known from two-dimensional physics. It has been recently shown t
Externí odkaz:
http://arxiv.org/abs/2301.06590
Autor:
Maciążek, Tomasz, Smilansky, Uzy
Publikováno v:
Annales Henri Poincar\'e (2021)
The spectrum of a real and symmetric $N\times N$ matrix determines the matrix up to unitary equivalence. More spectral data is needed together with some sign indicators to remove the unitary ambiguities. In the first part of this work we specify the
Externí odkaz:
http://arxiv.org/abs/2106.01819
Autor:
Maciążek, Tomasz
The Reduced Density Matrix Functional Theory (RDMFT) is a remarkable tool for studying properties of ground states of strongly interacting quantum many body systems. As it gives access to the one-particle reduced density matrix of the ground state, i
Externí odkaz:
http://arxiv.org/abs/2103.17069
Publikováno v:
Quantum 5, 450 (2021)
One of the key ingredients of many LOCC protocols in quantum information is a multiparticle (locally) maximally entangled quantum state, aka a critical state, that possesses local symmetries. We show how to design critical states with arbitrarily lar
Externí odkaz:
http://arxiv.org/abs/2011.04078
Autor:
Maciążek, Tomasz, An, Byung Hee
Publikováno v:
Tomasz Maci\k{a}\.zek and Byung Hee An, Phys. Rev. B 102, 201407(R) (2020)
We demonstrate that anyons on wire networks have fundamentally different braiding properties than anyons in 2D. Our analysis reveals an unexpectedly wide variety of possible non-abelian braiding behaviours on networks. The character of braiding depen
Externí odkaz:
http://arxiv.org/abs/2007.01207
Autor:
An, Byung Hee, Maciazek, Tomasz
We study geometric presentations of braid groups for particles that are constrained to move on a graph, i.e. a network consisting of nodes and edges. Our proposed set of generators consists of exchanges of pairs of particles on junctions of the graph
Externí odkaz:
http://arxiv.org/abs/2006.15256
Autor:
Maciążek, Tomasz
Publikováno v:
ACTA PHYSICA POLONICA A, Vol. 136, No. 5 (2019)
The aim of this paper is to analyse algorithms for constructing presentations of graph braid groups from the point of view of anyonic quantum statistics on graphs. In the first part of this paper, we provide a comprehensive review of an algorithm for
Externí odkaz:
http://arxiv.org/abs/1909.02098