Superadiabatic quantum friction suppression in finite-time thermodynamics

Abstract

Friction in quantum thermodynamics results from fast driving schemes that generate nonadiabatic excitations.

Focus on Shortcuts to Adiabaticity

“…Focusing on the control of a reduced subset of degrees of freedom can pave the way for the use of STA, an ubiquitous strategy in the manipulation of ultracold gases just discussed. This aim is facilitated when the collective mode dynamics is governed exactly or in an approximate fashion by a dynamical symmetry [20,21,25,27,43,[58][59][60][61][72][73][74][75].…”

Shortcuts to adiabaticity assisted by counterdiabatic Born–Oppenheimer dynamics

“…Indeed, it circumvents the need to deal with the full spectra, proceeding, instead, in two-subsequent steps; treating first the fast degrees of freedom and then the slow ones. CBOD thus benefits from the dimensional reduction of the problem to engineer the CD term for the fast sub-system driving, equation (29).…”

“…In what follows we derive the modified driving controls when the relaxed BOA is used, as discussed in section 2.2. The required CD terms for the fast and exact systems are the same as in equations (25) and (27); alternatively, by (29) and (31). The slow sub-system has a modified Hamiltonian resembling that of a particle in an electromagnetic field, see equation (11).…”

“…In the context of trapped ultracold atoms, early theoretical results indicated that STA could be applied to many-body systems [17,[21][22][23]. Ultrafast expansions and compressions of atomic clouds have by now been implemented in a wide variety of interaction regimes including thermal clouds [24], Bose-Einstein condensates well described by mean field theory [25,26], tightly confined quasi-one-dimensional atomic clouds with phase fluctuations [27], and a unitary Fermi gas as a paradigmatic instance of a strongly-coupled quantum fluid [28,29]. In addition, theoretical studies have shown that STA can be used to guide the evolution of many-body quantum systems that exhibit quantum critical behavior [30,31].…”

Maximizing entanglement in bosonic Josephson junctions using shortcuts to adiabaticity and optimal control

“…Since the use of adiabatic processes is ubiquitous in quantum dynamics and generally in physics, it is no surprise that STAs have found a wide spectrum of applications. These include the fast cooling and transport of atoms [20,21], BECs [22] and trapped ions [23], the efficient manipulation of two-and three-level quantum systems [24,25], the design of waveguides and photonic lattices [26,27], the optimization of quantum heat engines [28][29][30][31][32][33], suppressing non-adiabatic excitations across a quantum phase transition [34,35], the fast optomechanical cooling [36] and quantum computation [37][38][39], and even the control of mechanical systems [40]. In the context of BJJs, STAs have been exploited for the fast generation of spin-squeezed states [41][42][43] and to expedite the superfluid to Mott-insulator transition [44,45].…”