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QUINTO projectFractional quantum Hall states in atom arraysOur second approach to create a topological order in atom arrays is to focus on a different kind of topological order: fractional quantum Hall (FQH) states. These were first discovered in condensed matter. It is possible to confine electrons to move in two-dimensions only (such as in the 2D material graphene or in so-called metal-oxide-semiconductor transistors) and then put them in a strong perpendicular magnetic fields. The electrons then move in circles (so-called “cyclotron motion”), but since they are quantum objects, only some values of radius are allowed. Thus, the energy can only take certain fixed values (we call them “Landau levels”). There are however different possibilities of an electron having the same energy, because the center of the orbit can be located in different places – we say that Landau levels are “degenerate”. And when there is degeneracy, the interaction between electrons becomes very important. Without interactions, there are many possible ways of arranging electrons within a Landau level, all with the same energy. In the presence of interactions, some arrangements become preferred – and it turns out those correspond to topological orders known as the FQH states. Such systems host anyons which look like fractions of an electron – like somehow the electron split into several parts. [1/2]<a href="https://fediscience.org/tags/Physics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Physics</a> <a href="https://fediscience.org/tags/science" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#science</a> <a href="https://fediscience.org/tags/TopologicalOrder" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TopologicalOrder</a> <a href="https://fediscience.org/tags/Quantum" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Quantum</a> <a href="https://fediscience.org/tags/QuantumOptics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#QuantumOptics</a> <a href="https://fediscience.org/tags/CondensedMatter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CondensedMatter</a> <a href="https://fediscience.org/tags/CondMat" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CondMat</a> <a href="https://fediscience.org/tags/cond_mat" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#cond_mat</a> <a href="https://fediscience.org/tags/QuantumHall" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#QuantumHall</a>

QUINTO projectYesterday Charlie-Ray Mann gave a talk as a part of the "Many-Body Quantum Optics" program at KITP. Charlie is a postdoc working in the same group as me. Part of presented work (2D numerics which is not directly referenced) was done by me within the QUINTO project. You can listen to the recording of the talk here: <a href="https://online.kitp.ucsb.edu/online/mbqoptics24/mann/" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://online.kitp.ucsb.edu/online/mbqoptics24/mann/</a><a href="https://fediscience.org/tags/CondensedMatter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CondensedMatter</a> <a href="https://fediscience.org/tags/condMat" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#condMat</a> <a href="https://fediscience.org/tags/Cond_mat" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Cond_mat</a> <a href="https://fediscience.org/tags/TopologicalOrder" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TopologicalOrder</a> <a href="https://fediscience.org/tags/SpinLiquid" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#SpinLiquid</a> <a href="https://fediscience.org/tags/QuantumOptics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#QuantumOptics</a> <a href="https://fediscience.org/tags/Optics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Optics</a> <a href="https://fediscience.org/tags/Physics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Physics</a> <a href="https://fediscience.org/tags/ColdAtoms" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#ColdAtoms</a> <a href="https://fediscience.org/tags/Science" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Science</a>

Steven Thomson<a href="https://mathstodon.xyz/@JoshuahHeath" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@JoshuahHeath</a> <a href="https://mastodon.social/@Jarvist" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@Jarvist</a> Yeah, something general like <a href="https://mastodon.social/tags/CondensedMatter" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CondensedMatter</a>, <a href="https://mastodon.social/tags/CondMat" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CondMat</a> or <a href="https://mastodon.social/tags/cond_mat" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#cond_mat</a> would probably be good. Maybe one of the latter two as they're shorter, although the character limit is less restrictive here than on Twitter so I guess that's less of a consideration these days.

|Ðr⟩⊕|JθΣħμαħ⟩⊗|Hεατħ⟩<a href="https://mastodon.social/@Jarvist" class="u-url mention">@Jarvist</a> <a href="https://mastodon.social/@physicssteve" class="u-url mention">@physicssteve</a> looks like the hashtags don’t carry over for dashes, so <a href="https://mathstodon.xyz/tags/cond" class="mention hashtag" rel="tag">#cond</a>-mat becomes <a href="https://mathstodon.xyz/tags/cond" class="mention hashtag" rel="tag">#cond</a>. Perhaps <a href="https://mathstodon.xyz/tags/cond_mat" class="mention hashtag" rel="tag">#cond_mat</a>? <a href="https://mathstodon.xyz/tags/str_el" class="mention hashtag" rel="tag">#str_el</a>?

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