论文标题
在边界散落的量子多体系统中解决Liouvillian间隙与放松时间之间的差异
Resolving Discrepancy between Liouvillian Gap and Relaxation Time in Boundary-Dissipated Quantum Many-Body Systems
论文作者
论文摘要
Liouvillian光谱的间隙给出了量子耗散系统的渐近衰变速率，因此其逆偏差已被确定为最慢的弛豫时间。与这种普遍的信念相反，我们表明，在边界消散多体量子系统中的扩散时间不取决于Liouvillian的差距或低矮的特征值，而是由liouvillian eigen eigenvectors auspoRexpartiental sialtially巨大的扩展系数与非元素eigenveltors的eigenvectors priminal eigenvectim priarne eigenverue prinderigeenverue prinderigeenverue。这一发现解决了文献中的明显差异，在Liouvillian间隙的逆与耗散多体量子系统中的放松时间之间。
The gap of the Liouvillian spectrum gives the asymptotic decay rate of a quantum dissipative system, and therefore its inverse has been identified as the slowest relaxation time. In contrary to this common belief, we show that the relaxation time due to diffusive transports in a boundary dissipated many-body quantum system is determined not by the gap or low-lying eigenvalues of the Liouvillian but by superexponentially large expansion coefficients for Liouvillian eigenvectors with non-small eigenvalues at an initial state. This finding resolves an apparent discrepancy reported in the literature between the inverse of the Liouvillian gap and the relaxation time in dissipative many-body quantum systems.
