| Time：1140423 (Wed.) 14:20~16:20 Speaker ：Prof.曾郁欽(Yu-Chin Tzeng) 國立陽明交通大學電子物理學系/Department of Electrophysics, National Yang Ming Chiao Tung University Title： Entanglement Hamiltonian and effective temperature of non-Hermitian quantum spin ladders. 非厄米量子自旋梯的糾纏哈密頓量與等效溫度 Abstract： Quantum entanglement plays a crucial role not only in understanding Hermitian many-body systems but also in offering valuable insights into non-Hermitian quantum systems. In this talk, I will introduce my recent work on the quantum entanglement for non-Hermitian systems. Particularly we analytically investigate the entanglement Hamiltonian and entanglement energy spectrum of a non-Hermitian spin ladder using perturbation theory in the biorthogonal basis. Specifically, we examine the entanglement properties between coupled non-Hermitian quantum spin chains. In the strong coupling limit, first-order perturbation theory reveals that the entanglement Hamiltonian closely resembles the single-chain Hamiltonian with renormalized coupling strengths, allowing for the definition of an ad hoc temperature. Our findings provide new insights into quantum entanglement in non-Hermitian systems and offer a foundation for developing novel approaches for studying finite temperature properties in non-Hermitian quantum many-body systems. 量子糾纏不僅對於理解厄米多體系統起著至關重要的作用，而且對於非厄米量子系統也具有重要的指導意義。在本次演講中，我將介紹我最近在非厄米系統量子糾纏方面的研究。具體來說，我們利用雙正交基底的微擾理論，分析研究了非厄米自旋梯的糾纏哈密頓量和糾纏能譜。具體來說，我們研究兩條相互耦合的非厄米量子自旋鏈之間的糾纏特性。在強耦合極限下，一階微擾理論表明，糾纏哈密頓量與單鏈的哈密頓量非常相似，從而可以定義一個等效溫度。我們的研究結果為非厄米系統中的量子糾纏提供了新的見解，並為開發研究非厄米量子多體系統中有限溫度特性的新方法奠定了基礎。 Place：S101, Gongguan Campus, NTNU |
