Absence of many-body mobility edges

By Wojciech De Roeck, F. Huveneers, M. Muller, Mauro Schiulaz. 2015

136 citations recorded by the source corpus.

Phenomenon of many-body localization violates one of the basic rules of statistical mechanics: It states that certain `localized' macroscopic systems cannot act as a bath for themselves and hence do not relax to equilibrium. The authors of this paper find that, whenever a system is not localized at all thermodynamic parameters (particle density, energy density), then local fluctuations into the non-localized phase, dubbed bubbles, can slowly destroy localization globally. This result provides a rather strong restriction on the existence of many-body localized phases and runs contrary to the idea that there could be genuine localization transitions as a function of temperature.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/35a4b7178d025003007f1254b5a0a57ca6d20704

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. V. Ros
2. Antonello Scardicchio
3. J. Imbrie
4. A. Mirlin
5. J. Moore
6. Romain Vasseur
7. D. Polyakov
8. F. Schindler

In Statistical and Nonlinear Physics

1. Romain Vasseur
2. Antonello Scardicchio
3. V. Ros
4. J. Moore
5. J. Imbrie
6. A. Mirlin
7. B. Doyon

Citations in the corpus

• KAN: Kolmogorov-Arnold Networks (2024, unknown): “Furthermore, experimental realizations of analytical mobility edges can help resolve the debate on localization in interacting systems [41, 42].”
• Many-body localization: An introduction and selected topics (2017, unknown): “…random potential. z (cid:2) (cid:2) (cid:2) i , σ i , σ i i , σ i , σ with a random (e.g., μ taken in a box distribution) or quasi-periodic ( μ = (cid:11) cos ( 2 β π i )) potential. i i non-vanishing charge density correlation (cid:5) m ( 0 ) m ( t ) (cid:4) at long-time with m = ( − ) i ( n ↑…”
• Many-body localization and delocalization in large quantum chains (2018, background): “[70] Wojciech De Roeck, Francois Huveneers, Markus Müller, and Mauro Schiulaz, “Absence of many-body mobility edges,” Phys.”
• Nonequilibrium quantum dynamics and transport: from integrability to many-body localization (2016, background): “It would also be very interesting to understand the nature of the MBL transitions in higher dimensions, in driven (Floquet) systems, or driven by energy density (addressing the controversial issue of the existence of manybody mobility edges [136]).”
• Local integrals of motion in many‐body localized systems (2016, background): “It is however argued in [35] (see also the discussion in [90]) that this scenario of a finite-temperature transition becomes”