Kavli Affiliate: Jing Wang
| First 5 Authors: Dongheng Qian, Huan Wang, Jing Wang, ,
| Summary:
The quantum Mpemba effect (QME) describes the counterintuitive phenomenon in
which a system farther from equilibrium reaches steady state faster than one
closer to equilibrium. However, ambiguity in defining a suitable distance
measure between quantum states has led to varied interpretations across
different contexts. Here we propose the intrinsic quantum Mpemba effect (IQME),
defined using the trajectory length traced by the quantum state as a more
appropriate measure of distance–distinct from previous trajectory-independent
metrics. By treating quantum states as points in a Riemannian space defined by
statistical distance, the trajectory length emerges as a more natural and
accurate characterization of the counterintuitive dynamics, drawing an analogy
to the classical Brachistochrone problem. We demonstrate the existence of IQME
in Markovian systems and extend its definition to quantum circuits, thereby
establishing a unified framework applicable to both open and closed systems.
Notably, we observe an IQME in a $U(1)$-symmetric circuit, offering new
insights into the rates of quantum thermalization for different initial states.
This work deepens our understanding of quantum state evolution and lays the
foundation for accurately capturing novel quantum dynamical behaviour.
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