A cryogenic cooling system, comprising: - a cryostat having an outer enclosure and at least one thermal shield disposed within the outer enclosure, the at least one thermal shield defining an inner region, wherein a thermal insulation region is defined by and between the at least one thermal shield and the outer enclosure, - a cryogenic cold head having a first stage member at least partially disposed in the thermal insulation region, wherein the first stage member is configured to operate in a stationary state at a first cryogenic temperature, and includes a thermally conductive link member that is thermally connected to the at least one thermal shield, at least a second stage member at least partially disposed in the inner region, wherein the second stage member is configured to operate in a stationary state at a second cryogenic temperature that is lower than the first cryogenic temperature, characterised in that the cryogenic cold head further comprises at least one thermal connection member (136; 236; 336; 436) that is configured to provide, in at least one operational state of the cryogenic cooling system, at least a portion of a heat transfer path (138; 238; 338; 438) from the second stage member to the first stage member, wherein the heat transfer path (138; 238; 338; 438) is arranged outside the cold head, and a thermal resistance of the provided at least portion of the heat transfer path (138; 238; 338; 438) at the second cryogenic temperature is larger than a thermal resistance of the provided at least portion of the heat transfer path (138; 238; 338; 438) at the first cryogenic temperature. - a cryostat having an outer enclosure and at least one thermal shield disposed within the outer enclosure, the at least one thermal shield defining an inner region, wherein a thermal insulation region is defined by and between the at least one thermal shield and the outer enclosure, - a cryogenic cold head having a first stage member at least partially disposed in the thermal insulation region, wherein the first stage member is configured to operate in a stationary state at a first cryogenic temperature, and includes a thermally conductive link member that is thermally connected to the at least one thermal shield, at least a second stage member at least partially disposed in the inner region, wherein the second stage member is configured to operate in a stationary state at a second cryogenic temperature that is lower than the first cryogenic temperature, characterised in that the cryogenic cold head further comprises at least one thermal connection member (136; 236; 336; 436) that is configured to provide, in at least one operational state of the cryogenic cooling system, at least a portion of a heat transfer path (138; 238; 338; 438) from the second stage member to the first stage member, wherein the heat transfer path (138; 238; 338; 438) is arranged outside the cold head, and a thermal resistance of the provided at least portion of the heat transfer path (138; 238; 338; 438) at the second cryogenic temperature is larger than a thermal resistance of the provided at least portion of the heat transfer path (138; 238; 338; 438) at the first cryogenic temperature. a first stage member at least partially disposed in the thermal insulation region, wherein the first stage member is configured to operate in a stationary state at a first cryogenic temperature, and includes a thermally conductive link member that is thermally connected to the at least one thermal shield, at least a second stage member at least partially disposed in the inner region, wherein the second stage member is configured to operate in a stationary state at a second cryogenic temperature that is lower than the first cryogenic temperature, characterised in that the cryogenic cold head further comprises at least one thermal connection member (136; 236; 336; 436) that is configured to provide, in at least one operational state of the cryogenic cooling system, at least a portion of a heat transfer path (138; 238; 338; 438) from the second stage member to the first stage member, wherein the heat transfer path (138; 238; 338; 438) is arranged outside the cold head, and a thermal resistance of the provided at least portion of the heat transfer path (138; 238; 338; 438) at the second cryogenic temperature is larger than a thermal resistance of the provided at least portion of the heat transfer path (138; 238; 338; 438) at the first cryogenic temperature.