Matches in SemOpenAlex for { <https://semopenalex.org/work/W4281630373> ?p ?o ?g. }
- W4281630373 abstract "Understanding the linear response of any system is the first step towards analyzing its linear and nonlinear dynamics, stability properties, as well as its behavior in the presence of noise. In non-Hermitian Hamiltonian systems, calculating the linear response is complicated due to the non-orthogonality of their eigenmodes, and the presence of exceptional points (EPs). Here, we derive a closer form series expansion of the resolvent associated with an arbitrary non-Hermitian system in terms of the ordinary and generalized eigenfunctions of the underlying Hamiltonian. This in turn reveals an interesting and previously overlocked feature of non-Hermitian systems, namely that their lineshape scaling is dictated by how the input (excitation) and output (collection) profiles are chosen. In particular, we demonstrate that a configuration with an EP of order $M$ can exhibit a Lorentzian response or a super-Lorentzian response of order $M_s$ with $M_s=2,3,ldots,M$, depending on the choice of input and output channels." @default.
- W4281630373 created "2022-06-13" @default.
- W4281630373 creator A5015967274 @default.
- W4281630373 creator A5016725403 @default.
- W4281630373 creator A5025091697 @default.
- W4281630373 creator A5034082929 @default.
- W4281630373 creator A5044190697 @default.
- W4281630373 date "2022-06-07" @default.
- W4281630373 modified "2023-10-14" @default.
- W4281630373 title "Linear response theory of open systems with exceptional points" @default.
- W4281630373 cites W1531935167 @default.
- W4281630373 cites W1575147392 @default.
- W4281630373 cites W1605431238 @default.
- W4281630373 cites W1665371518 @default.
- W4281630373 cites W1679473116 @default.
- W4281630373 cites W1897844819 @default.
- W4281630373 cites W1911454827 @default.
- W4281630373 cites W1911969426 @default.
- W4281630373 cites W1968235873 @default.
- W4281630373 cites W1978986114 @default.
- W4281630373 cites W1979129168 @default.
- W4281630373 cites W1995238279 @default.
- W4281630373 cites W1999786383 @default.
- W4281630373 cites W2000359448 @default.
- W4281630373 cites W2003982012 @default.
- W4281630373 cites W2007967009 @default.
- W4281630373 cites W2008456265 @default.
- W4281630373 cites W2015027166 @default.
- W4281630373 cites W2020028184 @default.
- W4281630373 cites W2025864484 @default.
- W4281630373 cites W2027718107 @default.
- W4281630373 cites W2033862060 @default.
- W4281630373 cites W2036325947 @default.
- W4281630373 cites W2041147683 @default.
- W4281630373 cites W2047699813 @default.
- W4281630373 cites W2050208293 @default.
- W4281630373 cites W2058364577 @default.
- W4281630373 cites W2064741577 @default.
- W4281630373 cites W2066202639 @default.
- W4281630373 cites W2076990939 @default.
- W4281630373 cites W2084881102 @default.
- W4281630373 cites W2110821423 @default.
- W4281630373 cites W2140144416 @default.
- W4281630373 cites W2149567672 @default.
- W4281630373 cites W2152396817 @default.
- W4281630373 cites W2160223254 @default.
- W4281630373 cites W2168102333 @default.
- W4281630373 cites W2168499099 @default.
- W4281630373 cites W2169655591 @default.
- W4281630373 cites W2182508619 @default.
- W4281630373 cites W2286173540 @default.
- W4281630373 cites W2314350111 @default.
- W4281630373 cites W2317337689 @default.
- W4281630373 cites W2337934190 @default.
- W4281630373 cites W2343283295 @default.
- W4281630373 cites W2395614120 @default.
- W4281630373 cites W2412395139 @default.
- W4281630373 cites W2566735213 @default.
- W4281630373 cites W2733896976 @default.
- W4281630373 cites W2744151324 @default.
- W4281630373 cites W2766977118 @default.
- W4281630373 cites W2768107904 @default.
- W4281630373 cites W2777639606 @default.
- W4281630373 cites W2781491230 @default.
- W4281630373 cites W2783116727 @default.
- W4281630373 cites W2794702209 @default.
- W4281630373 cites W2801247610 @default.
- W4281630373 cites W2802716133 @default.
- W4281630373 cites W2806676409 @default.
- W4281630373 cites W2824885876 @default.
- W4281630373 cites W2890371829 @default.
- W4281630373 cites W2897648014 @default.
- W4281630373 cites W2899996555 @default.
- W4281630373 cites W2907736445 @default.
- W4281630373 cites W2908266731 @default.
- W4281630373 cites W2914877349 @default.
- W4281630373 cites W2919368806 @default.
- W4281630373 cites W2930665417 @default.
- W4281630373 cites W2930890360 @default.
- W4281630373 cites W2934336970 @default.
- W4281630373 cites W2946102139 @default.
- W4281630373 cites W2947800949 @default.
- W4281630373 cites W2950613702 @default.
- W4281630373 cites W2958924501 @default.
- W4281630373 cites W2967190699 @default.
- W4281630373 cites W2968621207 @default.
- W4281630373 cites W2970531577 @default.
- W4281630373 cites W2972982411 @default.
- W4281630373 cites W2976240571 @default.
- W4281630373 cites W2976994215 @default.
- W4281630373 cites W2985939495 @default.
- W4281630373 cites W2988331578 @default.
- W4281630373 cites W2988341331 @default.
- W4281630373 cites W2994214974 @default.
- W4281630373 cites W3007585178 @default.
- W4281630373 cites W3008192251 @default.
- W4281630373 cites W3009636131 @default.
- W4281630373 cites W3009658479 @default.
- W4281630373 cites W3010292533 @default.
- W4281630373 cites W3024823903 @default.