SqlLiteral was what I needed:
started_at_date = Arel::Nodes::NamedFunction.new('DATE', [arel_table[:started_at]])
one_day = Arel::Nodes::SqlLiteral.new('INTERVAL 1 DAY')
next_day = Arel::Nodes::NamedFunction.new('DATE_ADD',
[started_at_date, one_day])
conditions = arel_table[:stopped_at].lt(next_day)