FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2995452213> ?p ?o ?g. }

• W2995452213 abstract "We study the all-to-all connected $mathit{XYZ}$ (anisotropic-Heisenberg) spin model with local and collective dissipations, comparing the results of mean-field (MF) theory with the solution of the Lindblad master equation. Exploiting the weak $mathcal{PT}$ symmetry of the model (referred to as Liouvillian $mathbb{PT}$ symmetry), we efficiently calculate the Liouvillian gap, introducing the idea of an antigap, and we demonstrate the presence of a paramagnetic-to-ferromagnetic phase transition. Leveraging the permutational symmetry of the model [N. Shammah et al., Phys Rev. A 98, 063815 (2018)], we characterize criticality, finding exactly (up to numerical precision) the steady state for $N$ up to $N=95$ spins. We demonstrate that the MF theory correctly predicts the results in the thermodynamic limit in all regimes of parameters, and quantitatively describes the finite-size behavior in the small anisotropy regime. However, for an intermediate number of spins and for large anisotropy, we find a significant discrepancy between the results of the MF theory and those of the full quantum simulation. We also study other more experimentally accessible witnesses of the transition, which can be used for finite-size studies, namely, the bimodality coefficient and the angular-averaged susceptibility. In contrast to the bimodality coefficient, the angular-averaged susceptibility fails to capture the onset of the transition, in striking difference with respect to lower-dimensional studies. We also analyze the competition between local dissipative processes (which disentangle the spin system) and collective dissipative ones (generating entanglement). The nature of the phase transition is almost unaffected by the presence of these terms. Our results mark a stark difference with the common intuition that an all-to-all connected system should fall onto the mean-field solution also for intermediate number of spins." @default.
• W2995452213 created "2019-12-26" @default.
• W2995452213 creator A5009328533 @default.
• W2995452213 creator A5046329950 @default.
• W2995452213 creator A5048800312 @default.
• W2995452213 creator A5064343648 @default.
• W2995452213 creator A5081668362 @default.
• W2995452213 date "2020-06-01" @default.
• W2995452213 modified "2023-10-16" @default.
• W2995452213 title "Validity of mean-field theory in a dissipative critical system: Liouvillian gap, <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi mathvariant=double-struck>PT</mml:mi></mml:math> -symmetric antigap, and permutational symmetry in the <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi><mml:mi>Z</mml:mi></mml:mrow></mml:math> model" @default.
• W2995452213 cites W1578322733 @default.
• W2995452213 cites W1793257536 @default.
• W2995452213 cites W1838435042 @default.
• W2995452213 cites W1913057021 @default.
• W2995452213 cites W1965175422 @default.
• W2995452213 cites W1966340898 @default.
• W2995452213 cites W1971090548 @default.
• W2995452213 cites W1971185946 @default.
• W2995452213 cites W1979308046 @default.
• W2995452213 cites W1980664748 @default.
• W2995452213 cites W1981008345 @default.
• W2995452213 cites W1988808284 @default.
• W2995452213 cites W1991486189 @default.
• W2995452213 cites W1992634891 @default.
• W2995452213 cites W1996459947 @default.
• W2995452213 cites W1998177347 @default.
• W2995452213 cites W1999545266 @default.
• W2995452213 cites W1999748594 @default.
• W2995452213 cites W2001025102 @default.
• W2995452213 cites W2003169721 @default.
• W2995452213 cites W2003213439 @default.
• W2995452213 cites W2004153661 @default.
• W2995452213 cites W2004267918 @default.
• W2995452213 cites W2007391198 @default.
• W2995452213 cites W2007481732 @default.
• W2995452213 cites W2008621519 @default.
• W2995452213 cites W2008766537 @default.
• W2995452213 cites W2010340377 @default.
• W2995452213 cites W2010782405 @default.
• W2995452213 cites W2011487267 @default.
• W2995452213 cites W2013561290 @default.
• W2995452213 cites W2016152637 @default.
• W2995452213 cites W2017154611 @default.
• W2995452213 cites W2017495946 @default.
• W2995452213 cites W2021498273 @default.
• W2995452213 cites W2023718408 @default.
• W2995452213 cites W2024592942 @default.
• W2995452213 cites W2029715417 @default.
• W2995452213 cites W2038709929 @default.
• W2995452213 cites W2041921807 @default.
• W2995452213 cites W2044042033 @default.
• W2995452213 cites W2045244865 @default.
• W2995452213 cites W2048119781 @default.
• W2995452213 cites W2059360074 @default.
• W2995452213 cites W2062078129 @default.
• W2995452213 cites W2063772656 @default.
• W2995452213 cites W2072296482 @default.
• W2995452213 cites W2080125084 @default.
• W2995452213 cites W2081258812 @default.
• W2995452213 cites W2083505176 @default.
• W2995452213 cites W2084313671 @default.
• W2995452213 cites W2084610324 @default.
• W2995452213 cites W2090765638 @default.
• W2995452213 cites W2092161060 @default.
• W2995452213 cites W2093070978 @default.
• W2995452213 cites W2097233278 @default.
• W2995452213 cites W2099265531 @default.
• W2995452213 cites W2099624481 @default.
• W2995452213 cites W2118492081 @default.
• W2995452213 cites W2121627664 @default.
• W2995452213 cites W2121688329 @default.
• W2995452213 cites W2124105934 @default.
• W2995452213 cites W2133369646 @default.
• W2995452213 cites W2140322314 @default.
• W2995452213 cites W2141825821 @default.
• W2995452213 cites W2151015068 @default.
• W2995452213 cites W2153050545 @default.
• W2995452213 cites W2154196599 @default.
• W2995452213 cites W2156825769 @default.
• W2995452213 cites W2214923827 @default.
• W2995452213 cites W2239326894 @default.
• W2995452213 cites W2253399432 @default.
• W2995452213 cites W2263113069 @default.
• W2995452213 cites W2268294734 @default.
• W2995452213 cites W2344698819 @default.
• W2995452213 cites W2395677469 @default.
• W2995452213 cites W2407966336 @default.
• W2995452213 cites W2417188048 @default.
• W2995452213 cites W2436983801 @default.
• W2995452213 cites W2466685340 @default.
• W2995452213 cites W2469250197 @default.
• W2995452213 cites W2475389724 @default.
• W2995452213 cites W2499849946 @default.
• W2995452213 cites W2504638826 @default.
• W2995452213 cites W2505136320 @default.
• W2995452213 cites W2507244937 @default.
• W2995452213 cites W2515150880 @default.
• W2995452213 cites W2519551993 @default.
• W2995452213 cites W2527202510 @default.
• W2995452213 cites W2528112611 @default.

• next