![]() Zhou explains it using an example in which a quantum particle can “hop” between different sites on a lattice. In order to understand how this discovery works, first one must understand the difference between Hermitian and non-Hermitian systems in physics. Ren Zhang from Xi’an Jiaotong University, was a visiting scholar at Purdue when the project was initiated. Qi Zhou, and Zhengzheng Zhai, postdoctoral fellow. Chenwei Lv, graduate student, is the lead author, and other members of the Purdue team include Prof. ” Of the members of the team, most work at Purdue University’s West Lafayette campus. The Team recently published their findings in Nature Communications in an article titled, “ Curving the space by non-Hermiticity. In other words, non-Hermiticity and curved spaces are dual to each other, being the two sides of the same coin.” ![]() The extraordinary behaviors of non-Hermitian systems, which have puzzled physicists for decades, become no longer mysterious if we recognize that the space has been curved. These two subjects were assumed to be completely disconnected. “It has also answered long-standing questions in non-Hermitian quantum mechanics by bridging non-Hermitian physics and curved spaces. “Our work may revolutionize the general public’s understanding of curvatures and distance,” says Qi Zhou, Professor of Physics and Astronomy. Without any physical distortions of physical systems, the team has designed a scheme using non-Hermiticity, which exists in any systems coupled to environments, to create a hyperbolic surface and a variety of other prototypical curved spaces. A team of researchers at Purdue University have discovered a new method to create curved spaces that also solves a mystery in physics. In conventional wisdom, producing a curved space requires distortions, such as bending or stretching a flat space. Graphic provided by Chenwei Lv and Ren Zhang. White balls moving in the right direction demonstrate the geometric origin of an extraordinary skin effect in non-Hermitian physics. The white geodesics of the curved surface are shown as an analog of straight lines on a flat space. A P oincaré half-plane can be viewed in the background which demonstrates a curved surface. A new duality discovered at Purdue University solves a physics mystery
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