Quantum phase transitions occur in non-Hermitian systems. In this work we show that density functional theory, for the first time, uncovers universal critical behaviors for quantum phase transitions and quantum entanglement in non-Hermitian many-body systems. To be specific, we first prove that the non-degenerate steady state of a non-Hermitian quantum many body system is a universal function of the first derivative of the steady state energy with respect to the control parameter. This finding has far-reaching consequences for non-Hermitian systems. First, it bridges the non-analytic behavior of physical observable and no-analytic behavior of steady state energy, which explains why the quantum phase transitions in non-Hermitian systems occur for finite systems. Second, it predicts universal scaling behaviors of any physical observable at non-Hermitian phase transition point with scaling exponent being (1 - 1/p) with p being the number of coalesced states at the exceptional point. Third, it reveals that quantum entanglement in non-Hermitian phase transition point presents universal scaling behaviors with critical exponents being (1 - 1/p). These results uncover universal critical behaviors in non-Hermitian phase transitions and provide profound connections between entanglement and phase transition in non-Hermitian quantum many-body physics.
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http://dx.doi.org/10.1038/s41598-017-07344-z | DOI Listing |
iScience
January 2025
Department of Electrical and Computering Engineering, Binghamton University, Binghamton, NY 13902, USA.
Our recent research on type-I quadrature parity-time (PT) symmetry, utilizing an open twin-beam system, not only enables observing genuine quantum photonic PT symmetry amid phase-sensitive amplification (PSA) and loss in the presence of Langevin noise but also reveals an additional classical-to-quantum (C2Q) transition in noise fluctuations. In contrast to the previous setup, our exploration of an alternative system assuming no loss involves a type-II PSA-only scheme. This scheme facilitates dual opposing quadrature-PT symmetry, offering a comprehensive and complementary comprehension of C2Q transitions and PT-enhanced quantum sensing with optimal performance in the symmetry unbroken region.
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April 2025
The Second Department of General Surgery, First Affiliated Hospital of Dali University, Dali, 671000 Yunnan China.
Unlabelled: High expression of Fascin-1 involves high metastasis, high recurrence, and poor prognosis of cancers. However, the related regulatory mechanism in hepatocellular carcinoma (HCC) remains elusive. In this study, Fascin-1 was highly expressed in HCC tissues and cell lines.
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University Medical Center Utrecht, Department of Radiation Oncology, Utrecht, the Netherlands.
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View Article and Find Full Text PDFAdv Pharmacol Pharm Sci
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A simple and efficient validated assay for quantifying 21-deoxycortisol (21-DOC), 17-hydroxyprogesterone (17-OHP), cortisol, and cortisone in human plasma has been developed using ultra-high performance liquid chromatography coupled with tandem mass spectrometry (UHPLC-MS/MS). Analysis of plasma samples were performed on Atlantis dC18 (3 m) column using a mobile phase of 20.0 mM ammonium acetate and acetonitrile (50:50, : ) that was delivered at isocratic flow rate 0.
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