Relaxation and thermalization in the one-dimensional Bose-Hubbard model: A case study for the interaction quantum quench from the atomic limit

Motivated by recent experiments, we study the relaxation dynamics and thermalization in the one-dimensional Bose-Hubbard model induced by a global interaction quench. Specifically, we start from an initial state that has exactly one boson per site and is the ground state of a system with infinitely strong repulsive interactions at unit filling. Using exact diagonalization and the density matrix renormalization group method, we compute the time dependence of such observables as the multiple occupancy and the momentum distribution function. Typically, the relaxation to stationary values occurs over just a few tunneling times. The stationary values are identical to the so-called diagonal ensemble on the system sizes accessible to our numerical methods and we further observe that the micro-canonical ensemble describes the steady state of many observables reasonably well for small and intermediate interaction strength. The expectation values of observables in the canonical ensemble agree quantitatively with the time averages obtained from the quench at small interaction strengths, and qualitatively provide a good description of steady-state values even in parameter regimes where the micro-canonical ensemble is not applicable due to finite-size effects. We discuss our numerical results in the framework of the eigenstate thermalization hypothesis. Moreover, we also observe that the diagonal and the canonical ensemble are practically identical for our initial conditions already on the level of their respective energy distributions for small interaction strengths. Finally, we discuss implications of our results for the interpretation of a recent sudden expansion experiment [Phys. Rev. Lett. 110, 205301 (2013)], in which the same interaction quench was realized.Comment: 19 pages, 22 figure

Maine Monthly Overdose Report for April 2023

This report documents suspected and confirmed fatal and nonfatal drug overdoses in Maine during April 2023 as well as for the period January 2022–April 2023. During April 2023, the proportion of fatal overdoses averaged 7.3% of total overdoses. Monthly proportions of 2023 fatalities have fluctuated from a low of 4.5% in March to a high of 7.3% in April. During the period January–April 2023, fatal overdoses comprised 6.1% of all overdoses, slightly lower than the 6.8% for 2022

Maine Monthly Overdose Report for August 2023

This report documents suspected and confirmed fatal and nonfatal drug overdoses in Maine during August 2023 as well as for the period January 2022–August 2023 (Table 1). During August 2023, the proportion of fatal overdoses averaged 5.8% of total overdoses. Monthly proportions of 2023 fatalities have fluctuated from a low of 4.1% in March to a high of 8.1% in April. During the period January–August 2023, fatal overdoses constituted 6.1% of all overdoses, lower than the 6.9% for the year in 2022. The total of confirmed and suspected fatal overdoses January

Maine Monthly Overdose Report for July 2023

This report documents suspected and confirmed fatal and nonfatal drug overdoses in Maine during July 2023 as well as for the period January 2022–July 2023. During July 2023, the proportion of fatal overdoses averaged 6.6% of total overdoses. Monthly proportions of 2023 fatalities have fluctuated from a low of 4.1% in March to a high of 8.1% in April. During the period January–July 2023, fatal overdoses constituted 6.2% of all overdoses, lower than the 6.9% for the year in 2022. The total of confirmed and suspected fatal overdoses January–July, 2023, 366, is 7.8% lower than the total confirmed fatal overdoses for the same period in 2022, 397

Maine Monthly Overdose Report for October 2022

This report documents suspected and confirmed fatal and nonfatal drug overdoses in Maine during October 2022 as well as for the period January 2021–October 2022

Maine Monthly Overdose Report for May 2023

This report documents suspected and confirmed fatal and nonfatal drug overdoses in Maine during April 2023 as well as for the period January 2022–April 2023. During April 2023, the proportion of fatal overdoses averaged 7.3% of total overdoses. Monthly proportions of 2023 fatalities have fluctuated from a low of 4.5% in March to a high of 7.3% in April. During the period January–April 2023, fatal overdoses comprised 6.1% of all overdoses, slightly lower than the 6.8% for 2022

Maine Monthly Overdose Report for December 2022

This report documents suspected and confirmed fatal and nonfatal drug overdoses in Maine during December 2022 as well as for the period January 2021–December 2022

Maine Monthly Overdose Report for October 2023

This report documents suspected and confirmed fatal and nonfatal drug overdoses in Maine during October 2023 as well as for the period January 2022–October 2023 (Table 1). During October 2023, the proportion of fatal overdoses averaged 7.1% of total overdoses. Monthly proportions of 2023 fatalities have fluctuated from a low of 4.2% in March to a high of 8.1% in April. During the period January–October 2023, fatal overdoses constituted 6.2% of all overdoses, lower than the 6.9% for the year in 2022. The total number of confirmed and suspected fatal overdoses January–October, 2023 is 513, 11.7% lower than the total confirmed fatal overdoses for the same period in 2022, 581. The total number of nonfatal overdoses January-October, 2023 is 7,746, 6.2% lower than the total confirmed nonfatal overdoses for the same period in 2022, 8,261

Maine Monthly Overdose Report for March 2022

This report documents suspected and confirmed fatal and nonfatal drug overdoses in Maine during March 2023 as well as for the period January 2022–March 2023