Stabilizing volume-law entangled states of fermions and qubits using local dissipation

Q-deformed rainbows: a universal simulator of free entanglement spectra

“…By combining this relation with equations (18) and (19), we can obtain expressions that directly relate the desired single-particle entanglement energies to the required ratio of real parameters in our model. The recursive nature of the formulae for the re-scaled parameters means that in order to engineer some single-particle energy, ϵ i , it is necessary to have previously established some value for all previous i − 1 energies.…”

“…The ground state of this model is termed the 'concentric singlet phase' [12] or simply 'rainbow state' [13], due to its distinctive structure of maximally entangled valence bonds connecting pairs of sites distributed symmetrically across the center of the chain. This simple model hosts a rich variety of properties [14,15] and has been the subject of much interest in recent years [16][17][18][19].…”

Dissipative stabilization of entangled qubit pairs in quantum arrays with a single localized dissipative channel

“…This has been proved for arrays of both bosonic (by using a single localized squeezed reservoir) [16][17][18][19][20][21][22] and fermionic (via a correlated reservoir for two fermions) [15] modes. It has also been shown that many entangled pairs can be realized by modulating the coupling between a central cavity and two qubits (spin-1/2) in a qubit chain [23] and by designing a correlated reservoir of two elements in an array of qubits [11,14,15] and cavities (bosonic modes) [11][12][13].…”

“…An attractive strategy makes use of controlled dissipative processes to steer and protect arrays of quantum systems into entangled states [1][2][3][4][5][6][7][8][9][10]. In particular, it has been shown that, in order to drive the whole system into non-trivial and potentially useful multipartite entangled states, it is sufficient to control the dissipative dynamics of one or two localized elements in a quantum array [11][12][13][14][15][16][17][18][19][20][21][22][23]. This has been proved for arrays of both bosonic (by using a single localized squeezed reservoir) [16][17][18][19][20][21][22] and fermionic (via a correlated reservoir for two fermions) [15] modes.…”

“…In particular, it has been shown that, in order to drive the whole system into non-trivial and potentially useful multipartite entangled states, it is sufficient to control the dissipative dynamics of one or two localized elements in a quantum array [11][12][13][14][15][16][17][18][19][20][21][22][23]. This has been proved for arrays of both bosonic (by using a single localized squeezed reservoir) [16][17][18][19][20][21][22] and fermionic (via a correlated reservoir for two fermions) [15] modes. It has also been shown that many entangled pairs can be realized by modulating the coupling between a central cavity and two qubits (spin-1/2) in a qubit chain [23] and by designing a correlated reservoir of two elements in an array of qubits [11,14,15] and cavities (bosonic modes) [11][12][13].…”