Shaping Light with Liquid Crystals: A New Path to Quantum Control
Researchers have demonstrated electrically tunable quantum interference in free space by harnessing the unique properties of liquid-crystal metasurfaces to create a programmable beam splitter for structured light.
![The lattice [latex]TT[/latex] operator exhibits a directional dependence in its corrective terms, where the complementary product of variables [latex]X[/latex] and [latex]Y[/latex] across linked structures-specifically, [latex]X[/latex] on a purple link with [latex]Y[/latex] on an orange triangular plaquette, or [latex]Y[/latex] on a purple square and triangular plaquettes multiplied by [latex]X[/latex] on an orange link-introduces an asymmetry in the lower layer’s corrective calculation.](https://arxiv.org/html/2601.04318v1/plot/cup_0_2_1_x.png)

![The study demonstrates a shift in optimization strategy for inverse problems, moving from minimization of displacement discrepancy-quantified by [latex]\sum\_{i}\Delta u\_{i}^{2}(\boldsymbol{\epsilon})[/latex]-to minimization of constraint force magnitude, expressed as [latex]\sum\_{i}\lambda\_{i}^{2}(\boldsymbol{\epsilon})[/latex], thereby altering the fundamental objective function governing model parameter estimation.](https://arxiv.org/html/2601.04557v1/stacking.png)


![The system’s evolution demonstrates that enabling dynamical tides alters its trajectory, evidenced by a significant divergence from the path taken when these tides are disabled, despite both scenarios originating from an initial binding energy of [latex]E_{bind} = 3.8E_{B,0}[/latex].](https://arxiv.org/html/2601.04315v1/DT-vs-ET-ab200-inc87.png)

![A dissipative closed timelike curve enables microwave sensing through the observation of abrupt transitions in both oscillation frequency and amplitude as signal-field strength varies, with the locking point - indicated by a fixed local field of [latex] 7.85\times 10^{-3}\,\mathrm{V/cm} [/latex] - defining a critical threshold for detecting microwave fields.](https://arxiv.org/html/2601.04943v1/figure4.png)
![The [latex] YbNi_4P_2 [/latex] crystal structure projects a quasi-one-dimensional electronic behavior arising from interconnected clusters within the [latex] Ni_4 [/latex] lattice, suggesting that complex system-level properties emerge from localized interactions rather than imposed architectural design.](https://arxiv.org/html/2601.05126v1/crystalstru1.png)