Locked Topological Transitions in Non-Hermitian Systems
![The study of a constrained parameter space-defined by [latex]|t_1| = 2|t_3|[/latex], [latex]|t_2| = 2|t_3|[/latex], [latex]|t_1| = |t_2|[/latex], and [latex]|t_3| = \sqrt{|t_1t_2|}/2[/latex]-reveals topological transitions in complex-energy spectra for a 50-site system, shifting from point-gap to real-line-gap behavior as parameters [latex]t_1[/latex] and [latex]t_2[/latex] vary, and demonstrating the fragility of established theoretical boundaries.](https://arxiv.org/html/2603.25451v1/x2.png)
New research reveals how exceptional points can constrain topological phase transitions, providing a novel way to predict open-boundary behavior from periodic-boundary spectra.
![The study of a constrained parameter space-defined by [latex]|t_1| = 2|t_3|[/latex], [latex]|t_2| = 2|t_3|[/latex], [latex]|t_1| = |t_2|[/latex], and [latex]|t_3| = \sqrt{|t_1t_2|}/2[/latex]-reveals topological transitions in complex-energy spectra for a 50-site system, shifting from point-gap to real-line-gap behavior as parameters [latex]t_1[/latex] and [latex]t_2[/latex] vary, and demonstrating the fragility of established theoretical boundaries.](https://arxiv.org/html/2603.25451v1/x2.png)
New research reveals how exceptional points can constrain topological phase transitions, providing a novel way to predict open-boundary behavior from periodic-boundary spectra.

AdHoc Studio plans to release its superhero game, Dispatch, on Xbox Series X and S sometime this summer. A key feature often overlooked is that the Xbox version will support Play Anywhere, meaning you can buy the game once and play it on both your Xbox and Windows PC. Players on PlayStation 5 or Nintendo Switch would need to purchase the game separately for PC, but Xbox users won’t. Plus, your game progress and achievements will automatically sync across all platforms.

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![Critical parameters were evaluated along the critical curve defined by [latex]a = 0.9[/latex] and [latex]\theta_o = 20^\circ[/latex], with variation parameterized by the screen polar angle [latex]\varphi[/latex].](https://arxiv.org/html/2603.25049v1/x2.png)
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