Kavli Affiliate: Savdeep Sethi
| First 5 Authors: Gabriel Weiderpass, Mayur Sharma, Savdeep Sethi, ,
| Summary:
A wide range of non-equilibrium phenomena in nature involve non-reciprocal
interactions. To understand the novel behaviors that can emerge in such
systems, finding tractable models is essential. With this goal, we introduce a
non-reciprocal generalization of the kinetic Ising model in one dimension and
solve it exactly. Our solution uncovers novel properties driven by
non-reciprocity, such as underdamped phases, critically damped phases where a
system of size $N$ is described by an $N^{th}$-order exceptional point, and
wave phenomena influenced by the parity of $N$. Additionally, we examine the
low-energy behavior of these systems in various limits, demonstrating that
non-reciprocity leads to unique scaling behavior at zero temperature.
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